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TO TH K 



READER. 



Courteous Reader, 

ff/'HE N FJirJi entered ttpon theft my Laiouriy and 

- ■ after I had begun the CakulationSj I found that 

^hougb the Bookwonld he JmalU y^t my Labour tsasfd 

great that I almojl famted. Ttt^ at Length , whtJi I 

ftjnfidsred the ordinary^ nicejfsryy and frequent UJe that 

\\ \ *^'g^^ ^^ "'**'^'^ "f ^^(f^ "y Labours^ fiffus thereby trt' 

\ couraged t& gp on and profscute my ff^ork j and baia 

ready and eafy I have made it far Pr*6iUe» 'OjiU plainly 

appear, by immediate Li/peffim, to the meanefi Capacity, 

He^efoliows a brief ExplantJiien of the Method and 

Order sf the Book : Firft^yon willfilsd Tables of the 

Sun's Declination, newly calculated from the heft Hy^ 

(Qthefis yet difesvered, and applied to the Meridian of 
.ondon, -whofe Latitude is 5id. 32m. North, and 
Longitude, according to thsje Tables, ood. 00m.— 
Next you laill find Tables, Jhewing the ime Hour 
and Minute of the Day, the Sun being upon any Pvint 
of the Compafsj which Tabhs are as Dials JittiRgali 
^Places in the H^orld, whofe Pele is elevated not above 
6od. either North or South : Likewi/t- ly thefs tables 
you may knam the true Hour and Minute of the Night, 
by the Bearing of any of the knoivn Fixed Stars be- 
liueen the Tropics : Then you will frJ Tables Jhsm- 
ing the trut Time of the Sun's Rifing and Setting 
tuitk thi Length of the Day and Night. ^Ift l^ iU^t. 



Tables you m<tyjfind the trui T'me of Rlfing anJ Se 
ting of all the eminent Fixed Stars bei'ijoeen ibiTropii 
Next you. will Jirid Tables fijewing lire Point of tK 
Compais that the Sun atiJ all the ahovefa'id Stars r^j 
and Jet ttfOH ; which Tables ^re of excellent VJe f. 
readily finding the Variation af the Compafs, andm. 
P ie performed Iry a Meridian QQm^i.\.(%, that is about t\ 
Inebes in. Diameter^ whqfe Points are divided ift 
_ HsVaes nnd f^arters j fucb a Conipafs Ifupfofe to 
W cdftvem'ejil far a Mariner's Ufe, "where he balb not \ 
■ ' Azimuth Compafs. Nf\'t yea will find Tables rM 
j^ Amplitudes fo ^very Degyee of the Sun's Dcclin "^ 
^tion : AU theje Tables ar€ caltuiated from the Eqit 
• tor to 60 Degrees of Latitude, either Narth er Souti 
and they will hijl^ with ExaHnefSy as long as QO ■ 
tiphoidetb the Order md Courfe of Nature. 

p.' In the AppendiK yon will find the Ufe of alt tk 
Inftrunients that are mcji in PraSiice in the Art 

— NAVIGATION, either for Operation or Ohjerv ■ 
^tion : Likewife a- Table containing the mo/l primip 

- Ilarheurst Headlands, and Ifiands tn the WORLI 
fhewing the Latitude and Longitude at each of then 
beginning the Longitude at the Meridian e/'L-ondo] 

tibt IVhole dijpojed in & new, andfuicejfivc Order, ^ 
This Method ^ I ozan^ but how I have acquit ed myf^ 
therein^ ffball leave to the Judgment and Experience 
the iiwji pailful Mariners that the JVorld affords^ wbi 
arfViv native Ceuntrymm in England. 



.1 



Aivd now fiireever well, fo wiflies he, 
Who 1! more yours, tban he can fecm to be. 




ANDREW WAKELY. 




lO 3'be MariiuT^s Compafs ReSiiJied. 



Firji Tear after Leap-Year, 
Sua*s Declination 17 Si, 1785, 1789, 1793. 



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^\ \ 




' JN this EdHion of the Mariner's Compafs I 
^^ fied, all the Examples have been recaUulated 
^B the grealeji Care^ and pyoperly adapted to Jub/t 
™ Time I the Tables of the Sun's DcciinatioHj Aj 
\ tildes, Laticudes and Longitudes of Placefy 
have tikemije been compared with^ and careful 
rcSJtd by ibe latefl and moji accurate Aftjonomi 
. Geographical Oblervations j to wbkb is addi 
Hf "wa^ of Appendix) the Situation of the mofi ejj 
^ TfioMaSi &c. di/ccvered during Capt. Cook's P 
r in bis Mnjtfifs SbJp the Relblucion and PuSv^t 
^ft towards the South Pok^ and round the JV^rld^ 
^ Tears 1772, 1773, ijy^and 1775, thejameejta 
L b^CteieftxalOhJervatiom. Thofeof /i)f Sun's ] 
^1 nation are truly computed for the firfi four Tenr. 
^B may very well ferve in common Practice (witbo\ 
^^Jenfible Error') for alt ihofe TearsrefpeSIi'tfdy htii 
H or Jet at the Head of the Tables. 
W But if a greater Degree of Auurasy ii w^Kfr. 
foiiowin^ CorreSiion may be made at the End ef\ 
Tears; viz. fi-om March 2 i_y? to May «r/, an4 
September 2 fj^ to November 2 ijl, add one ilj 
to ihe Deciinalion in tbefs Tables founds and frbtd^ 
i\Ji to September 2 ijf j alfo from January 2| 
March ary?, fubtraB one Minute from the rsjp\ 
l>irsJwathjti the Sum, or lyifference t)»ili be tM 
f/wa/iffM ai ibai lime correii^d nearly . ' 





U B L I C. 



SIRS, 

BEING Jefired by the Bookfellers concerned 
herein, I willingly undertook the Ex^minatioa 
/this Treatile, (and the rather for that RefpeA I 
bear to the Teflrimony of my Matlcr, the dcceafed 
Anchor) whichj for its Ufefulnefs, hath obtained 
good Efteem from our NAVIGATORS : I therefore 
have taken the greater Pains, and fpcnc much 
Time in examlningeach Table, amendlftg,altcring, 
expiainingj and enlarging where I faw Caufe, and 
thus have endeavoured to render the Whole of the 
MARINER'S COMPASS RECTIFIED, 
moft famiUafj and eafy to an ordinary Capacity! 

In this Edition I have contracted the Ti;^/eo/^Hi- 
pUtudes in Points of the Compajsy and yet as intelli- 
gible as before, by which, having made more Room, 
1 have made the Reader Amends with large Addi- 
tions in the life of each Table, and methodizing the 
Difcourfe throughout ; but more efpecially in the 
Ufe cf Injlrumentit I have taken Liberty to repair, 
alter, and enlarge, that it will appear as good as 
new ; bi.it chiefiy in the Dejmplion and Ufe of the 
Gunter, Sliding Gitnter, and Setier \ ■^t\fttv5T&^ '^t 

A. 4- - "^^ 



r y v^ 



; 






nsel i: r 



r^ 








^ yy^i^^^-tii^ 



^\ 




J37''3 



i 



READER. 



Courteous Reader, 

' Jf^^^ ^ ^fi^^ emered upon tln/e my LahaurSy and 

■ ■ after I had begun the CafculationSt I found that 
^hough the Book ■weiild be/maliy yat my Labour tsasf^ 
great that I almojl fainted. Xet^ at Lengthy •when I 
tonftdered the crdtnary, necejf&ry-, afsd frequent Ufe that- 
might he made 6f theje tny Labours^ I was thereby en^ 
eouraged t9 g$ in &nd profeCMte my Work i and beat 
ready and eajy I have made it for Praffke, ^illpUmJy 
appear y ^ immediate In/peSioti, is the meaneji Capacity. 
Mere fellows a brief Explave lion of the Method and 
Ofdet of the Book : Firfl, you will^nd Tables of the 
Sun's Declination, neiiuly calculated from Ihi beft Hy- 

fothejis yet difcovered, and applied to the Mcndiah of 
.ondon, whefe Latitudes 5 id. ^zir\. North j and 
Lohgitude, according to the/e Tablesj. ood, 00m. — 
Nixt you will find Tables, fhewing the true Hour 
and Minute of the Tiay, the Sun being upon arty Point 
of the Compafsj which Tables areas Dials Jit ting all 
Places in the H^orld, whafe Pole is elevated not aoeve 
6od. either Horth or South : Like'otijs ly the/e Tahles 
you may know the true Hour and Minute ^fthe Night, 
by the Bearing of any of the knoivn Fixed Stars be- 
t-iueen the Tropics i Then you will ^^i J Tihlts Jhew- 
ing the truf Time of the Sun's Riling and Setting 
Wth the Length of the Day and Night. AlfQ i^ <*rC* 



( fi > 

Tables jpou may find the true Tim^ of Rifing and Se 
ting of all the eminent Fixed Stars betwetn the Tropu. 
Next J on will find Tables pewing the Point of tl 

•Compafs thai the Sun and ail the ahavefaid Stars rj, 
and fet upon; -mhieb Tables are af exiHknl Ufe /j 
readily finding the Variation of the Compars, andm.? 
be performed ^ a Meridian Qon-\i>A(%,ibat is ahut 
Inches in Diameler> whaje Potnls are divided ia 
Halves cKd f^tariers j fucb a Compafs IJuffofe to — 
■ conveniott for a Mariner's Ufe^ 'mhere he bath not )M 
"I'Azimiitli Compafs. Next yen will find Fables 
Amplitudes ta every Degree of the Sun's Declin.-, 

Ition: All ihefe 'XKh\^s are calculated from the EquiJ 
tor to 60 Degree! of Latitude, either N«rtb ar Souti 
and they will la/it with Exa^nefs, as loyig as G O .^ 
ttjjholdeth ibe Ordtr end Courfe of Nature. 

In the Appendix yait 'mil find the Ufe of all th\ 
Inftrumenls that are mofi in PraSiice in the Art 
-NAVIGATION, either for Operation or Ohferv- 
mltion: Likewife a-Tahlc containing the mofi princip 
Harhours, IkaMat?fls, and Iflands in the WORLI 
Jhewifig the Latitude and Longitude at each of then, 
beginning the Longitude nt the Meridian 6/Lx)ndoi 
the iVhde dijpofed in a new, andjucceffive Order. 

This Method, leian^ but hew 1 hai^e acquited myfi 
thereiHy J fkall leave to the Judgment and Experience 
ibe mciflfl'ilful Mariners that the World affordi, wbt 
are.my native Ceunirymm in England, 



I 

i 




An<l ROW fucever well, fb wiihes ke, 
WTio is mere yours, thai) he can ftcm to 'be. 



ANDREW W AKELY. 



To the PUBLIC. 



SIRS, 

BEING defircd by the Bookrellers concerned 
herein, I wrllingly undcrrook the Examination 
vf this Treatife, (and the rather for that Refpefl I 
bear to the Teftimony of my Mafler, the deceafed 
Author) whichj for its Ufefulnefs, hath obtained 
goodElleem fromourNAVIGATORS: Ithereforc 
have taken the greater Pains, and fpcnt much 
Time in examining each Table, amending,akcring, 
cxplainingj and enlarging where I iaw Caufe, and 
thus have endeavoured to render the Whole of the 
MARINER'S COMPASS RECTIFIED, 
moft fanr^iliar, and cafy to an ordinary Capacityl 

In this Edition I have contracted the Table of Ani' 
pUtudes in Points of the Compafs, and yet as intelli- 
gible as before, by which, having made more Room, 
1 have made the Reader Amends with large Addi- 
tions in the Ufe of each Table, and methodizing the 
Diicourfe throughout j but more efpecially in the 
Ufe of hfiruments, I have taken Liberty to repair, 
alter, and enlarge, that It will appear as good as 
new; but chiefly in the Defiripiicn and UJe of thi 
Gunier^ Sliding Guntery ^tA Sector \ principally the 

A 4. "^^ 



I 

of 



[Rifing, 



( 8 ) 

VO former, whofe Ufes I have (htwiditiJrithHefic^ 

> multiply^ divide, and wcri the RcrtE of Threei 
1 Geometry, to work Proporiions^continuedyDupUcatt 
,d Triplicate j Menfuration of Superjicies and i^oAVj ^ 
to meafure Board, Timber, Stone, Gauging of 
cflcls, Ttmndging of Ships, Bales, or Boxes ; alf<^ 
n Gunttery j in NavtgadoKy both in' P/i7Hf and A/fr-j 
fl/orV Sailing. In JJlronomyt the itioft ufefiU Prol 
eitis, fuch as to find the Sun's Place, Declination, 
Secttngj Annplitude, Azimuth, Hour> and 
liitudc, at all t'imes. And in all you are djreftet 
Uiiily to perfomi them, both by Sliding Guntt 
and with Connpafles. 

in the Table of Latitudes and Lonplkdes I hav( 
added many Places of Note, and omitted fome few 
thatlvere of little Moment, and have corrected both 
the Latitudes and Longitudes of themolteininent,. 
iccording to the latcft Obfervations ; fo that I am 
bold to fay, it is the moll exaft Table of the Kind 

CKt^tlt. S 

Thcfc, ^tth many other Additions throitg||f the 
Wholcj I hope will acceptance with young Stu- 
dents in the Mathematics, and prbve ferviceable to 
them, both iti the Stndy and Praftice of Navigation, 
and other Parts of the Mathematics. For whofc 
Sakes I have taken the greater Pains herein. 



JAMES KTKVKSQ 




7 



To the P U B L I C. 

SIRS, 

BEING dcfired by the Bookfetlers concerned 
herein,! wiUirgly undertook, the Examination 
j^fthlsTrcAtJle, (and the rather for that RcfpcA I 
bear to the Teftiinony of my Maftcr, the dcceafcd 
Author) which, for its Ufefulnefa, hath obtained 
good Eileem from our NAVIGATORS : I therefore 
have taken the greater Pains, and fpent much 
Time in examining each Table, amending^altering, 
explaining, and enlarging where I faw Caufe, and 
thus have endeavoured to render the Whole of the 
MARINER'S COMPASS RECTIFIED, 
moft familiar, and eafy to an ordinary Capacity! 

In this Edition I have contra^^ed the Ta^e of Am- 
pliiudesin Points of the Compafs, and yet as intelli- 
gible as before, by which, having made more Room, 
I have made the Reader Amends with large Addi- 
tions in the Ufe of each Table, and methodizing the 
Difcourfc throughout J but irtore efpecially in the 
Ufe of In^rumentSi I have taken Liberty to repair, 
alter, and enlarge, that it will appear as good as 
titvf ; but chiefly in the Defcription and Ufe of tbs 
Gurttir, SHdiJtg GuffUr, and StSiQY ; pimo^a^^'i "Cc*. 
A 4 v«^ 




JN this EJftfcn of the Mariner's Compafs H 
ficd, all the Examples have hem recaUulateif 
the greaUfi Care^ and properly adapted to fulm 
fiflif ; the Tables of the Sun's Declination, As 
tildes, LatiuiJcs and Longitudes of Places, \ 

I havf (ike-mife Uen cotupartd with^ and carafuA 
vt£fed tfji the tatejl and moji atcurale Aftj-onomU 
G«Ographical Ob icf stations i tn vjhich is addm 

■ wa^ of ,4^feitdix} the Situation of the moft eA 
Ipands^ 0c. dif covered durint Capt. Cook's l 
in bis Majijifs Ship the Reloludon and Xdvet 
tdwardi the South Pole, and round the fVorld^ 
TMrs 1772, 1775, 1774 ctud iyj's> thefameefla, 

f i>^ C'ttejlial Ob/ervatians, thofe of the Sun's I 
ration are tmly computed for the frji four Tearsl 
wjf very wtil ferve in temmoH Pra^ice (withoi 

__ njibie Error) for all thofe Teanrefpenitaly fuf 

'or Jet at the Head of the Tables. 

But if a ^renter Decree of Juuracy is require. 

l/<?//ow»>^ CtrrdJion may be tnsde at the End of 

\ 2'e,trSi r\i. firom March 2 \fi tfi May 11^, ant 
SciMciiiber 2 1^ /«? November j i/, add one A 

Jrt tlie Declittatiott In tbe/t Tables founds andfrm 

^zxji ta September 2 ijl ; a/fo from January 2 
Vlarch 9 ijt, fuiira^t one Mimte from the refp 
Jte/i/eatiimi the Jhjji, or Dtjerence will Ife th 
tWa/i^ it4 iihat limt rtrfefftd ntatlj , 



■»— 




r 


w 


'■ lO 


The Mariner's Compajs Ri^ified. 




^ 


w > 


mi 




F*>;7 Tear afier Ijui-p-Ytai\ 








• 




' Sun's 


Declination 1781, 1785, 1789, xy 


n- 








Jan. 


i*'cb, I March 


Apni 


May 1 J 


une 




3 


South 


Souuh 


South 


Notih 


N"nh I N 


uith 1 


i . 






D." M. 




D. M 


D. M, ;d. 


M.iB 


D. 


M. 


D. M. 


II 


53 


16 js 


07 :o 


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2; 


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'6 37 


cfi 57 


□ i to 


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16 19 


of. 34 


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24M 




12 


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16 oS 


22 


3 ■ 


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06 19 


16 2j 

16 41 


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»J 


oq 




l> 


.21 


3J 


IJ 38 


Oj C4 


08 54 


I3 J; 


n 


1 2 


^H 




'3 


St 


17 


IJ o» 


'1 i|C 09 16 


l3 j3 


«3 


16 


.^1 


»4 


tl 


11 


IX 47 


oa i^ 


09 j8 


rJ) ^6 


23 


'9 


jH 


1 »S 
i6 


21 


m 


13 a? 


or n 

01 1^ 


og 59 
10 20 


19 1 1 


23 


Zl 


li^^H 


20 


4'J 


IX c6 


19 14 


23 


*4 


1 *? 


20 


37 


II 45 


■31 OJ 


10 41 


19 20 


23 


2J 


ifl 


rS 


zo 


25 


ii 84 


00 41 


tl 02 


19 41 


23 


*y 


.^H 


'9 


TO 


1 1 


1 r 03 


00 \% 


I 1 2^ 


19 s^ 


33 


s8 


^H 


CO 


»9 


?9 


10 <|i 


Ntir.r6 


1 1 4i 


2 3 C6 


23 


it 


'^1 


21 


»9 


^% 


JO ig 


0-0 up 


i2 04 


io 19 


=3 


3g 


^^1 


ZJ 


t9 


^2 


09 57 


00 53 


12 24 


10 30 


33 


2H 


^1 




aj 


'9 


17 


09 35 ^» '7j 


12 44 


20 43 


n 


= 7 


^1 




>4 


19 


oj 


oy 13 


01 40 


IJ 04 


20 S3 


n 


21, 


^1 


«5 

1 »6 


18 


11 


08 ;t 


OJ rJ4 

02 27 


13 23 


II Od 


n 


24 


•9 


08 a8 


I? 4i 


21 14 


*3 


22 


»7 


18 


•7 


og 06 


o: 51 


r4. 02 


3J 24 


*3 


2C 


^1 




28 


Id 


ei 


07 43 


OJ 14 


• 4 SQ 


»> 34 


»3 


»; 


^1 




t(j 17 


4^ J 


"3 37 


J4 39 


= ' 43 


2J 


N 


^1 




30 17 


ig J 


Q4 01 


'4 57 


tl ^lU^ 


^^y™ 




j^ y-'/ 


rfi / ; 0+ a^ 




,11 oA 


\ 


J 


. ■ ^« 


-^^1 


\ \ 


^ 


■ 


a 


■■k. ^ 


^M 



I 

t 

I 

■ 
■ 
■ 

I 



T O T H E 




R E A D E 

JN this Edrdan of the Mariner's Corapafs R 

fied, all the EKamples have heen recalculated w. 
tbs grea[eji Care, and properly adapted to JithfeqUi 
Time', the Tahles of the Sun's Declination, An:ip' 
tudes, Laticiides and Longitudes of Places, t^i 
have iikeiai/e been compared withy and careful ch. 
reiled by the lalejf and moji accurate Aflronomic ^i 
Gsographical Obfervations ^ to wbtch is added f> 

' way of Jppendix) the SituatsoK of the mofi effentia. 
^andsy &c. difcovered during Cape, Cook's Voyagi 
in his Majejiy's Ship th^ Relolucion abj;/ Advcnrure, 
towards the South Pole, and round the H^oHd^ in iH 
Tears 1772, :773, ly-jj^ernd lyj^y the fame eJ}ahHj%eA 
byCteleJiialOhfervations. Thofe of /iif Sun's DecIiJ 
nation are truly computed for the firji four Tears^ dn^ 
may very well ferve in common PraSice (without dirf^ 

Jenftbie Error) for all ibofe Tearsrefpe^ittdy fuperfx. 
arjet at the Head of the Tables. 

But if a greater Degree of Accuracy is required^ 
following CorreSiion may he made at the End of eight 
TearSi viz. Jrom March 2ij9 to May ^r/, andf^m 
September 2 j_^ to November 2 ly?, add oke Minktri 
to the Declination in tbefe Tables founds and from Jdl 
i-ifi to September 2Xj^; alfo from January iiji to 
March 2 ij^, fuhtra£i one Minute from the refpe£}ive 
X>e£ji7jatiQn.i the Samf or Difference t^il be the Zif* 

^/f>ja//0M a/ ihdt Ttme corrt^'sd ncarlj . * Tifrf 



dfty\} 



in ' 





1 


^^^^^^^^V 


^H 


■ 


L 


?^# Mariner's Compafi Rtmjifti. 




r 


Second Tear after Liaf-THr 








Surr'S Dtftlirration i7S2> 1786, ijgOf 1794, 




"^ 


Jin. 


tcb. 


March 


April 
North 


M 


ay 


Jime 




,d 


^Oiith. 


Sotiuh 
dTm. 


South 


North 






D. 


M. 


D. M, 


D. M. 


D. 


M 


D. M, 




1 " 


23 


59 


16 59 


07 i6 


04 40 


'5 


11 


12 07 






X 


2Z 


S4 


t6 41 


07 OJ 


05 04 


'5 


29 


jz J5 


1 


; 


S 


ZZ 


48 


16 H 


06 40 


OS 17 


M 


47 


ZZ 22 






*■ 


ZZ 


42 


16 Ge> 


06 17 


es 50 


16 


04 


ZZ Z9 






6 


J2 

12 


^5 


ly 48 


OJ 53 


06 13 


16 


21 


ZZ 36 






IS 29 


0( 30 


06 36 


16 


22 42 






7 


2Z 


lO 


15 10 


05 07 


d6 ;8 


16 


SS 


ZZ 48 






s 


iz 


12 


14 51 


04- 13 


07 11 


»7 


11 


zi 54 






9 


tz 


OJ 


14 J2 


04- »3 


07 43 


■7 


*7 


ZZ 59 






10 


11 


S4 


14 13 


03 57 


c6 05 

08 27 


»7 


43 


zj 03 




f 1 


11 


♦s 


'3 S3 


°3 33 


'7 


S8 


zj oS 




1* 


71 


35 


U J3 


03 20 


08 49 


ik( 


>4 


23 ] 1 




!l 


11 


«S 


tj 13 


02 46 


09 li 


iV 


38 


ZJ li 




H 


Z| 


»4 


IZ JZ 


ox It 


03 31 


iS 


43 


23 t8 


, 


Us 


21 


01 


U j^ 


01 59 


09 S4 

10 IS 


18 


57 


zj z? 




I6 


20 


S» 


>2 J> 


o» 35 


"9 


11 




n 


10 


♦0 


(1 {O 


Ot II 


10 36 


>9 


*S 


i3 25 




18 


it? 


fU 


(1 19 


00 48 


10 57 


19 


ja 


23 z6 




19 


JO 


'S 


It «>7 


00 24 


II 18 


'9 


5' 


a s/ 




lO 


20 


02 


LO 46 


00 00 


11 39 


20 


■^3 


Z3 IS 




31 


'9 


s° 


to i4 


I*J6r.34 


II 59 


20 


16 Z] z& 




XZ 


'9 


?S 


10 01 


00 47 


ti I9 


2b 


*9 


23 z» 






■a3 


»9 


11 


09 40 


01 11 


12 39 


20 


3« 


23 jj 






H 


'9 


C7 


109 IJ 


OJ J4 


11 S9 


to 


50 


ZJ 2t 






*5 

26 


IV 


P 


c8 j6 


01 (S 


1} 18 
'J 3» 


11 


00 


23 2( 






18 


37 


oS 34 


OZ 32 


11 


Iz 


^3 *3 






»7 


18 


SI 


Og II 


oz 44 


<3 ?? 


21 


92 


2J fli 




Jl 


.?*' 


lil 


OS 


07 48 


03 og 


14 16 


II 


32 


23 IS 




||*9 


•7 


49 




03 3* 


H 3^ 


21 


4> 


«3 15 




H? 


>7 


31 




03 55 


H Si 


'l\ 


^oV-vi, \\\ 


K/'/ 


7 


04 iB 


, 


\ 


\^ 


^ ^ 




Tb£ Mariner's Compa/s ReffiJigJ. jj 



Second after Leap-Tear. 
Sun's Declination 1782, 1786, 1790, 1794. 




^v 




- 


^H 


^^^P 




m 


■ 


^^H 


^^^B 


r 


■ 




■ 


The Marifter'j Ccm^ajs Rcfftjiid. 


1 


■ 


I 


Third ifter Ltap - Ytar, 




1 


1 


Sufi's Djcl3n?;i3n, 1783, .7S7, 1791, 179 


?• 


1 


a 

a 


" D. M- 




Nofth 
D. M. 


3'iurK 
D M 


Nov. 
Sotith 

i5. M. 


iT 


<T 


■ 


''^Oith 


n^^ 


D. M. 


M 


T 


^H 


I 


4 03 


lb" oi 


08 I7 


oj 14 


14 stf 


21 


5' 


1 


^^ 


2 1-3 04 


17 47 


07 Si 


oj 37 


14 49 


rt 


Ct 


1 




3 


38 59 


17 J" 


^7 33 


04 00 


j$ oa 


xz 


*J 


fl 


■ 


r 


22 5^ 


17 16 


07 10 


04 23 


i( 36 


JX 




I 


22 49 


16 S9 


48 


04 47 


•5 45 


22 


i« 


,^ 


J 


6 


la 43 


1.-. 43 


atf 2O 


05 10 


j6 0^ 


22 


!' 


;■ 




7 


J3 J7 


16 aC> 


*6 03 


^5 3! 


16 • 1 


ZX 


"4' 


'H 




8 


f2 3> 


16 og 


05 41 


05 j6 , i6 3« 


Zl 


4« 




f 


9 


12 23 


IS p 


05 iti 


06 19 { 16 ;6 


22 


5' 


^^H 


lo 


Jz 16 


'S '7 


04 qs 


fl6 41 


i? li 


22 


'^ 


^^1 


^^ 'ii 


04 32 


07 04 


17 29' 


»3 


■ Si 


.■ 


^H 12 


22 00 


'+ i9 


04 lU 


07 «7 


17 4fi 


13 


^ 




^^1 'J 


21 ;. 


14 +1 


^■3' 47 


c7 I iii 02 


2J 


II 


^M^ 


I J '4 


2i 42 


■t4 .21 


03 24 


oS IX iS iS 


»3 


1 


r 


Kf 


21 i5 

SI 13 


J4 0+ 
1+ 4; 


03 00 

02 J7 


oi 3* 


'8 u 
i« 4^ 


= J 


l.S 


ii 


oK 57 


»J 


St 


J 


^B 17 


11 J3 


■3 ?6 


oa 14 


09 ^ 


[9 03 


= 3 


*4 


■ 


^B is 


21 03 


,j 08 


01 ji 


P? 4'> 


19 iS 


'3 


»> 


f 


^H IQ 


20 5» 


12 47 


01 27 


10 02 


19 J2 


*J 


a; 


■1 


^K'20 


20 4t 


12 37 

(2 07 


cr 04 


)o 74 

13 4J 


'9 59 


H 


2t> 


W 


^■^1~ 


20 30 


00 4^ 


M 


45 




^H-'zz lO 


II 4: 


00 r-- 


II C7 


15 ij^ 


i» 


tv 




^B Z:t ' *0 0& 


11 27 


Sou. c6 


11 28 


10 24 


^3 


26 




^^ 24 


'9 S3 


Jl 0& 


00 30 


1. 49 


■'> 37 


*5 


»: 




15 


J? 41 
19 28 


JO 4& 

10 2j- 


00 ^-j 

01 17 


11 ID 


20 49 


«3 


^3 




12 30 


2< CO 


^.'*7 


19 14 


10 04 


01 40 


11 SI 


il It 


*3 


St 




IB'zR 


19 02 


09 4J 


02 04 


13 01 


21 i: 3} 


lU 




W«9 


18 4^ 


09 Zl 


02 17 


IJ x\\x\ \>.\1.\ 


A d 


[ Jj'^V 


/f JJ 1 09 00] 


01 5o\»i S^\»v HxY-S ""A. i 


^^t tS i^ oS 3S 


\.. »A \-_!|| 



I 



The Mamer'j C^ajs Reiiijied. 



\ 


V 






l4ap 


-rtwr. 










* 


\ 


Sun's Decimation, 1780, 178^ 1788^ 1792, 

• 


■ 




J.n, 


Feb. 


March 

bouth 


April 
North 


May 
Ns,tfi 


Jync 


ki« 


Souih 


boutli 


i 




D. M. 


D. 


M. 


D. 


M. 


D. 


M. 


D. 


\4. 


1). 


M- 


[ 


1 


13 0£ 


17 


07 


°7 


'4 


04 


so 


'S 


'h 


22 


i 1 


1 


a 


" 57 


16 


';<5 


06 


5> 


01 


16 


'? 


3a 


22 


>9 




3 


n 51 


16 


1^ 


06 


3» 


01 


19 


'S 


5b 


rs 


26 


' 


- 4 


« 4; 


16 


'5 


06 


OS 


06 


oz 


16 


'5 


S> 


3^ 




^ 


»» 38 
ij 3» 




S7 




42 
ifi 


06 
06 


15 

47 


lb 


30 


22 
2E 


-!2 


1 




33 


16 


47 


, 


7 


3» 24 




ic 


0+ 


^^ 


07 


16 


'7 


05 


22 


5. 




H 


XI l^ 




1 


04 


31 


07 


3* 


17 


20 


2Z 


56 




9 


11 oS 




41 


«4 


08 


67 


55 


'7 


36 


33 


01 




10 


11 59 




2Z 


03 


44 

31 


08 


'7 


17 


5' 


23 


06 




II 


ai 50 




Oz 


08 


39 


18 


c6 


10 




tt 


21 40 




43 


02 


57 


09 


00 


iH 


Zl 


n 


'4 




'3 


2< 30 




*3 


01 


34 


09 


zz 


i)j 


V* 


*3 


"7; 


. 


U 


XI 30 




02 


Ot 


to 


09 


4+ 


■ ti 


P 


«3 


Zfll 


, 


'5 
16 


zt 09 




4> 


01 
01 


_1* 

21 


)0 
10 


05 
z6 


i2_ 

'9 


i« 


S3 

28 


IZ 


1 


to ;S 




II 


I 


' 


*': 


20 46 




00 


00 


59 


10 


47 


'9 


3^ 


zz 


' 


iij 


«P 34 




39 


00 


35 


1 1 


oa 


'9 


4? 


«3 


■ 


rg 


20 11 




18 


00 


iz 


1 1 


29 


'9 


5« 


«3 


zA. 




10 


20 eg 


10 


S6 


Nor 


. 12 


t r 

12 


_19 

09 


20 
20 


IS 

ZO 


»3 


2 a' 




XI 


(9 SS 


10 


35 


00 


56 


zflj 




S2 


<9 4« 


10 


'1 


00 


59 


iz 


30 


20 


34 


23 


zn 




«3 


19 zS 


og 


S' 


01 


=S 


IZ 


49 


zo 


•♦i 


23 


z;a 




*4 


•9 t4 

tS S9 
t8 44 


oy 


19 


91 


47 


\% 


C9 


20 


s"^ 


n 


za 




<? 


09 


07 


cz 


10 


15 

1 J 


29 

48 


X\ 


07 


23 


2J 




z6 


08 


44 


OS 


J4 


2t 


'7 


2fl 




»7 


18 39 


08 


iz 


03 


57 


14 


07 


ZI 


27 


n 


»i 




Id 


i8 13 


07 


59 


03 


30 


H 


z6 


21 


37 


n 


i( 


J'fl N7 S?'i 


ay 


37 


03 


44 


14 


44 


Zt 


46 


n 


1 


SO 1? 4*1 




04 


07 


u 


Ol 


i* 


SS 


n 


«i 


y 


' / / 


^ *■? ' 


'«>4 


V' 


\xx 


01^ 


^ 



F 




!■ 


, 


T&e Mariner's Compajs Re^ified. 1 7 


1 

1 


Leap - Tear, 
Sun*5 Declination, 1780, 1784, 1788, 1792. 


k 




J.,]y 


Auguft 

North 

D. M. 

17 S" 

'7 3S 

17 19 

17 03 
16 47 

■ 6 ;o 
16 13 
IJ 56 

'5 39 
IS 11 

IJ 03 

J 4 45 
I14 27 

fi+'oB 

13 19 

IJ. 30 

.> 3- > > 
12 ;2 
12 32 
la 12 
II 52 

II 32 
II 11 
to $t 

10 30 

10 09 
09 48 
09 17 
09 00 

oS 44 
d3 2Z 


Sept. 
Nordi 


Oft. 


Nov. 


Dec. 


m 


North 


South 
D. M. 
03 31 

03 5? 

04 18 

04 41 
o> 04 

05 27 

05 50 

06 13 
06 36 

06 ^9 

07 21 

07 44 
oft 06 
oS^- 29 

08 ; S' 


South 

D, M. 

M 44 
IS 03 

IS « 

15 40 
'5 59 

16 ij 

'5 34 

16 52 

17 09 

17 «S 


Soath 


1 

■ 

1 

i.1 


1 

2 

3 
4 
S 

6 

7 
8 

9 
10 

II 
12 
13 
'4 
'S 


D. M. 
23 o; 

23 01 
22 56 

22 50- 

iz 45 


D. M. 
08 Oo 

07 3S 
07 16 

06 S4 
q6 3( 


1>. M. 

21 59 

22 07 
22 16 

22 34 
21 31 


22 38 

22 33 
22 IJ 
22 iS 
32 |i? 


c-6 yg 

05 46 
05 24 

0$ 01 

04 38 

P4 ij 
03 52 
0} 39 
03 06 
02 45 


22 38 

22 4i 

22 $[ 
2 2 S^ 

23 01 


J2 CM. 

" «! 

*' 4i1 
zi 3l' 

21 26 
21 16 

21 a6' 

2CJ SS 

30 44 
ao 33 

20 21 
20 c9 
■9 57 
'9 44 
'9 3i 


17 42 

17 (8 

18 14 
18 29 

18 45 


25 06 
23 II 

»3 M 
23 iS 

23 It 


■ 6 

'7 
18 

ig 

20 

21 

21 

13 

»f 

26 

= 7 

28 

29 


02 20 
01 56 
0) 33 

00 46' 


09 IJ 

og 3S 

(■g S7 
10 19 

ic 40 

II C2 

II JJ 

11 44 

12 cj 
11 25 


19 00 

19 14 

19 z8 

19 42 

20 09 
10 ai 
to 34 
zo 46 
20 S7 


23 23 
23 25 

»3 27 

23 x? 

23 £8 


QO 23 

00 00 
Sou. X4 

00 4? 

01 1 1 


2} 28 

23 28 

2j i^ 


19 17 

i9 04 

18 JO 

•8 3! 

|S 21 


Ot 34 

01 s8 
Oz 21 

02 4! 

03 oS 


12 46 

13 06 
13 26 
13 46 


21 09 
?I 19 

21 30 

^ai 40 


43 aa 

I23 i» 


■ 


v^> 






jfl 



* 



iS The Manner's Csmfafs ReBiJie^. -^Hf 

Apefcriprionofthe TABLES of the S U N^ 
DEC LI N ATI O N. 

THESE Tablesarc in general for Four Year^^j 
Leap,- Year, J'iiftj Second and Third YejH 
after' Leap Year, and confequehtly for any YcarT^ 

Each Year (taking up two Pages) hath the Hrfi: 
Six Months of che Year on the Left-hand Page, and 
the Uft fix Months are on the Right-hand Page, the 
Names of the Months are at the Head of each Co- 
lumni and the Days of each Month in the Left-hand 
Column of each Page. ,^d 

The firft Table ftieweth the Son's Declinati(J^^ 
every Day for the Hrft Years after Leap-Year, being 
1781, 1785, 1 7 S9, 1793, &c. and takes up pages 
(10 and II :) Thefecond Table is for 1782, 1786, 
1790, 1794* &c. being the fecond Year after Leap- 
Year in Pages (12^ and (13) i The next Table in 
Pages {14) (15) is for fhe Third Year after Leap- 
Tear: The Fourth Table in Pages (16) and (17) 
flicwcth the Sun's Declination for Leap- Years, be- 
ing 1780J J784, 1788, 1792, &c'. 

Under the Name of the Month, is the Nan:ie of 
the Declination either North or South, only the 
Column for March and September hath two 
Names; that is, under March is Seuih, and againft 
the iift or jcth Day (accor*3ing as it is Leap-Yearj. 
or jft, idj 3d Year after) is Nor. fcr North ; and 
Under September is North, and againfl: the 23d or 
tt4th Day is Sou. for South; intimating that the 
Declination is South in March, till the alitor uoth 
Day, and all the remaining Part of the Month it is. 
JSTorihor Non in like manner in September, it is 
North till the S3d, or 24th Day, and from thence to 
t^eMouilis end ir h South or Sou. The 



tbi Mariner'^ Ompa/t ReWfi^. 

The Ufe of the Tables of Declinatioft4 

O find the Sun's Declination for any Day in 
any Year, is after this Manner, 




I. Seek the Year and Month, at the Head of the 

able ; and the Day of the Month in the Lefc-hiuid 

'olumn. 



I 

^H 1. Then right under the Month) at the Head o 
^Rhc Table, andagainft the Day of the Month in the 
Lefc-hand Colunnni is the Sun's Declination re- 
quired. 



K 



Example i . I defire to know the Sun's Declination 
for the 24th Day of April, 1782. 



The Year 1782, is the fecond Year after Leap- 

Year, which is in Page (ts) i then under April, 

d againft 24 (under Days) is 12.59, ^^^ North 

the Head of the Tal?le under April ; which 

eweth the Sun's Declination on the 24th of April, 

86, is i2ti. 59111. North, 

iKompIc 2. What is the Sun's Declination of ^c 
aiftof March, 1780. 

The Year 1780, being Leap-Year, is found in 
Page 16 J then againft (.he 21 ft: Day, and under 
March, is Nor. 0.36 ; fignifying the Sun's Decli- 
nation at that Time is ood. 36^1, North j tJie like 
any other Time. 






20 TBe Manner's Cemfafs ReSified. 1 




A TABLE to Proportion the Sun's DecUnatioQ to 
aay other Me^ritiian. 




■ 1 1 


The daily UifFercnct in DccHnaiion | 




<■% 

u 

U 

ba 

d 



y •* 

^a 

_i 

u 

lU 

Q 

G 





1 
s 

z 

m 






9 

t 
1 
1 

t 

1 


9, 

p 

4 
m 
c 

:^ 



z 

1 

2 


5" 
6 

m 


f 
I 
1 
1 
1 
z 
a 
> 

2 

5 


3 J 

1 
m 

a 

1 

t 

z 
2 

2 

; 3 

3 

-4 

4 


3. 
3" 

10 

m 


1 

2 
z 
2 

3 
3 

4 
4 

5 


■ z 

m 



1 

z 
3 
3 
4 
4 
S 
5 
6 


3 
3' 

14 

Bl 

1 

Z 
2 

3 
J 
4 

S 

i" 
6 

6 

7 


a. 

13 

16 

m 
1 
) 

2 
3 
3 
♦ 
J 
5 
6 

7 

. 7 


3. 

□ 

en 

t 
2 

3 
4 

4- 
5 
6 

7 
7 


3. 

5' 

zo 

m 

t 

2 
2 

4 
s 

6 

7 
7 
8 


B 

5 

zt 

m 

1 

z 

3 

4' 

5 

S 

6 

7 
8 


3, 

S' 

H 
m 

1 

2 

3 
4 

6 

7 
e 

9 
10 

L t 
1 1 


IS 


30 


4; 


■ 


60 


w 


7S 


^ 


90 


B 


lOJ 


■ 


IZO 


K 


»J» 


P 


150 


^ 


'.6S 


9.' '« 
10 1 1 


H 


tSo 


S q 


^^^L 


i 





























The Ufe of this TABLE of Proportion- 

THE Table; of the Siin*s Dediration are caknUted ftir 
the Meridian rif L^nrfcrit and will fervc for any Place under 
that Meridian; but loi ^^Clfe Places fituaw Kafterly or Wcft-i 

<vJi' from it, the Declinatioii m^ifl he proportiored according to 

'- fjs c'^Jy Difference in fhe Tab!c, atidLcnguijde of thofc Place* 
^^^m Che Meiidian of Lomiors £01 wVL\t\i. YurgoKt ^'k^'\^^ 
■" uJh/ui, as isevideat by iWefc Ex^Am^i^ss. ^Hfll 



I -T- 



1^ 



^^^B Thf Maritfr's C&mpa/s R(£Hfitd. s 

^^^^ ExaiAple ^^fl 

Admit the lOth Day of April, Anno 17S2, I am in 
Longitude 1051). Catl; I demand what Oedinaticin the 
Sun wtll have that Day in the Meridian of ihat Place ? 

The Declinarion finr April the toth, in the Meridisn of 
Londivi is o8d. 05111. increvifing, and The dajlj^ DiiFerence 
at that Time U 22m, iberefore in ihis Table iooL in the 
Head ther«<jf for ihe Numlier as, or ncareft thereunto, if 
not 111 the Table ; then look on the Left-hand of the Ta- 
Wc for i05d. (or the neareft thereto) the Longitude I am 
in» and in the common Angie of meeting is b Min. whir h 
■4s to be deduiled ffum the Declination in the Meridian of 
Xondon aforefaiU 8d. 05m. and the RcfnainJcr will >c the 
Declination for ihat Meridia.n. or the Longitude I am in, 
which is oSd. 58m. North. But if the Declination has 
decrcafed, as it doth here increafc, then you muft have 

'dcd, as hereunder you may fee. d. m. 

The Declination in the Meridian of London is 08 : 05N. 
The propoitional Minuter fubtratS — — 00 : 06 



» 



he Decl, for the Longitude of tosd. Eaft is 07 : jgNT. 
T^c Decl. for the Longitude 9f lOfd. Weft U 08 : 11 
£xamfk 2. 



Admit the loth Day of OSober, Anno I7S0, I am In 
Longitude Sjd. Wef( : I demand what Declination thi 
Sun will have tjjat Day in that Meridian ? 

The daily Difference in the Tabic of Declination at 
this Time i-s 23m. and the proportional Part thereof by 
the taft Table is 5 min. increaiing. d. m. 

The Declination in the Meridian of London ^ 06:59 S 
The proportional Minutes add ■ — ^ 00 ; 05 

,e Dcdinntion in the Long, of g-jd. Wtftwi fe-j -. 'ah,'^ 




UnatioR for (he Lon^,. <A &^A. t^^N^ ^ '• ^4h[ 







■Z2 "The Mariner's Compafs Reitifed. 




A TABLE of Rcfraftion, dedtced from Mr. Flumrtead's Ob- 




fervations, made ai che Royal Obfervatary at Greenwich. 




(4 




J3 




HU 




in 






■s 




-a 

■S 




■3 


(3 


•0 


n 








w 


5 


w 




V 




tl 






^ 


oa 


OS 


< 


Pi 


< 


oj 




D. 


M.S 


D. 


M.S. 


n. 


M.S. 


D. 


M.S 


po 


33-^'-* 


10 


4-13 


25 


'■47 


40 


0.5 8 




oof 


26. 3? 


11 


4.10 


26 


t.4A 


41 


0.56 






01 


23.21 


It 


3-5 ! 


*7 


1.36 


42 


0-S4 






01* 


zom; 


l^ 


3 39 


28 


»'3> 


43 


0.51 




OK 


17.16 


14 


3- -3 


=9 


1.27 


44 


0.5.^ 




Ot\ 


15.1s 


i; 


3 00 


30 


1.2J 


4i 


4S 






°K 


13-23 


i& 


2.;S 


3" 


I.ZO 


46 


o.d.5 






03I 


11. S3 


17 


2.^9 


3* 


1.(7 


-(7 


4S' 






0+_ 


10,39 


16 


aJ9 


33 


1.14" 


48 


44 


1 04l 


9.3^ 


J9 


2.31 


3i 


I.II 


49 


0,42 






OS 


8 4^ 


20 


2.24 


3> 


1.-9 


5° 


0,40 






06 


747 


21 


z- 1 1 


36 


1.07 


^5 


° 35 




67 


6^5 


21 


z.ot 


37 


■ ■05 


60 


30 


, 


dS 


5-57 


'3 


2. 00 


3>^ 


t.oz 


70 


0^,19 




^ 


09 


5-23 


24 


i.So 


39 


l.&O 


So 


C.IO 




P 


1C3 


4- 4-3 


25 


1.^7- 


40 


1.58 


90 


0.00 






'' Tl« Refraction of the Sun, Moon and Stars, canfeth ihem fc 


1 


appear higher above the Horizon ihtu Ihey are; therefore the 


Rcfraftion is always to be fpbirafled from the Altllmle obftrvcd. 


tbSfi the true Attitndc may be had. 


I^ftv As.admit Itie Sten'aMtrridiaTi Altitude, by ObreruatioHr la be 


^^H^ e -J^iegrees ; I dema.nd the true Altitude. 


^HT' d. m. 




^^L-^un'sfccfra^an Sm. j8 f. fubtraa - - • 


- - 00 : og 




r 




aa's true 


Meridi. 


in Alutu 

J 


icU - 


^ 


■ *^« = S' 


1 



( ^3 ) 




IPRIMUM MOBILE 
O R, 
Aftronomic Tables; 
P Each TABLE being 



AS UN-DIAL, 



SHEWING 

^The exaa Hour of the Day, tlie Suh 

B* being upon any Point of the Com- 

H pafs ; fitting all Places upon the 

B Earth and Sea, that lie between the 

B Equator and boDegreesof Latitude, 

H either North or South : And to laft 

H with Exadinefs as long as the Omni- 

H potent and Everlafting Creator fhall 

H be pleafed to conferve the great and 

H w&nderful Fabric of Natme. 



L'S 



A Suti-Dial for the Latitude of o 



NORTH DECLINATION. 




NORTH DECLINATION. 




TU Marintr'i Cortrpajt RiSlifitd. 



25 



A San-Dial for the Laxitude of 1 Degree. 



I 



O Tel 



Suin's 
Ampl. 



9 d 


1 d 


> 'J 


-> d 


10 d 


lid 


<,d 


.7d 




30(11 




jom 




^om 




join 


1) m 


h m 


h in 


1 ai 


ti m 


h m 


(i ni 


1 10 


12 


13 


II 


12 


12 


13 


1: 


11 


re 


0.01 


a.03 


5.0S 


o.o; 


09 


0. ]] 


'>.M 


^■03 


0-06 


to 


C.15 


0.19 


a.2J 


3,17 


3 


O.O^ 


•3.1 1 


0.J7 


0.24 


O.Jl 


-*..!» 


3.4.6 




3,09 


3.l( 

3 14 


2(3 


■J.5 
0.56 


0.47 

I.I2 


].Z9 


1 09 
"■47 


0.14 


o.jS 


1,04 


1.31 


'■59 


J.JO 


107 


^.3c 


..!4 


'-*S 


5-4^ 








S 00 


• 










„^- 


' 


5.00 


6 nc 


6.'0c 


6.00 


ii,o<- 


6 01 


6 01 


6,01 


d m 


d IT 


i n, 


1 tP 


d m 


>i m 


d m 


d 01 


9.D0 


I.OC 


;,oc 


7.30 


10.0 


11. ]a 


15.0 


[7-3(1 



JO d 



m 



12 

0.16 

03! 

0-S3 
3-S + 



h. ni 

\z 

1.00 
2 zi 



& 01 



a ID 
so.o 



6 01 



d m 



S3 d 
29111 



h m 

IS 

o. t9 
0.3S 
1.04 

»*3: 



6 oz 



d m 



ZZ.CJi^q }g 



SOUTH DECLINATION. 



I 



Deg, 

Mm- 




ni 

12 

01 

03 

.06 
■ ic 

2C 

00 



^ 111 



12 
0.03 

0.06 

09 

o '4 

OJI 

0'34 
1.1 1 



Rl 



7 d 
lom 

b m 



] 3 

O.JO 
Qlt 

D 36 

2 04 



12 

0.07 

D.I 4 
J.05 



.od 



li m 



12 
0.05 
0.1b 

0.30 
-41 
1.07 
i.50 
4,3 1. 



iz d 

30ni 



(H 



12 

0.1 I 

0.32 

1-2 

2.18 



Ijd 



12 

3-13 
J 21: 

^■4^ 

1.41 
2.5. 



"7 d 

30m 



12 
0.15 

0.31 
0,51 
i.i: 



'•57 



20 d 



h m 



iz 

■>.17 

0,3- 

0.5s 

29 



4'j 



J2d 

ll IT 
12 

1.05 

I J' 
5 "3 



23 a 
2911) 



h iTi 

12 

9.ZI 

>'42 
I. Id 



6.0O 6.co6.otl^.c;^ \i^ ^sV-S^SW%-%V vV%Y^v!g 




The Manner's Campa/s Re^ifitd. 



A Siiti-Dial for the Latitude of 2 Degrees. 

NORTH DECLINATION. 




Tbi Mariner's Compaji RtSiJiid, 



37 



A Sun^Dtal for the Latitude of 3 LregrcxS. 



1 



NORTH DECLINATION. 



12 

O.Oi 

0.05 
0.08 

O.IZ 



CI. IB 
0.29 
0.59 

D.OO 



6.0a 



0.00 



Deg. 
Min. 



Point 



North 
n b/w 
n n » 
nwbn 
n w 

nwbyw 
w n *v 
w byn 
Well 



fet 



Sum's 



3 dm 
b m 



(2 

N 






a m 



ri 



o.Q- 
9 12 
0.2D 
0,42 



7 d 
50m 

ti in 



S-Cic: 



5.00 



J2 

3)8 

i.40 



IZ 

a. 12 



6.01 






IQ d 



m 



i.Ii 



6,r.2 
d irt 

'0.1 



)oni 



IT 



o 

.26 

1 39 



SOE 



J 1.31 



.5 J 



12 

a (c 
0.2c 

o. ju 



! .6 

1.1 



6oj 






.7d 
jom 

ti m 

IE 

D.I3 

I or 

"■3H 

*47 



5.0JJ 



17.31 



10 d II d 



m 



' '3 



t S4 
3 3J 



604 






m 



o 16 



60; 

d m 

21, Z 



33 d 



m 



0,17 

o 36 

•59 

'31 



1.2* 



6.0 






SOUTH DECLINATION. 






Point 



South. 

B by w 

s s w 

,sw by ! 

s w 



W S fV 

w by 5 



{'ei 



li m 



h m 



12 

0.05 
3.1? 

o.tS 
0.19 

.1 00 



'^.ao 



d 
3 dm 



3 05 
0.09 



5.00 



tn 



7 d' 

li m 



II 

0.13 
21 



Q49 
1.17 

1.40 



\\ ta 



tz 

1.09 
5.1 
J. 28 

0.4Z 

r^ 

1.42 
J.38 



?-sy 



od 



OJ I 

0-35 

0-53 



1.19 

4-;5 



12 d 
h m 



12 

0.13 

3.4; 

^■3? 



'5^ 



m 



65 



12 

015 

3' 
0.49 
r.14 



1.52 
I -op 



,7d 
3oni 



ni 



i 
0.17 

o-3J 
0,56 

l.2< 



I. IC 



zod ilt^ 



i) m 



12 

J. It, 
:3.4D 
1.04 

'•J7 



2.30 
^.32 



m 



12 

0.44 
i.ia 

' 47 



245 

•3' 



2Qin 



12 

0.2. 
3.4; 
1.1} 

L5! 
1 or 



j . 5S\ t sA-- s-\s■^^'^^•^V■^ • 



F 


1 


^ 


- 


23 7fe Mariner'i Campajt ReSified 




A Sun-Dial for the Lacitude of 4 Degrees. 


NORTH DECLINATION. 


Otg 1 


d Deg. 


; d[7 d 


10 d 


I2cl 


i5d 


17 d 23 d 22 d 


13 d 




Min '.c 


HI Min 


pom 




30tn 




,0m 


2^ SI 




South 1 


ni PoiHt 


1 m 


1 m 


1 m 


1 ID 


1 m 


1 m Ik m 


ix m 

IZ 


I m 

12 


1 


1 NoTClt 


IS 


12 


IZ 


1Z 


11 


JZ iz 




f byw 1 


>i B by w 


3.0I 


3.0J 


e.o^ 


3,07 


D 09 


0.1 1 0. t] 


0.]^ 


3.17 






S3 W 3.( 


53 n n w 


D02 


0.06 


Ll 


^.14 


0.1 9 


0.23 zH 


^■V 


5.3^ 






i*by s D. 


34 Awbjw 


5.03 


5.''9 


0.16 


J.E3 


J.JC 


0.383.45 


-..51 


0.57 


1 




s w 5 


s; 'iw 


0.04 


.14 


0.Z4 


^.%S 


Oflt 


J s; 1 oc 


1. 19 


1.27 






























iw by ft' 


DC IW''^" 

,>byn 


o.o6 


;.!■ 


o-V 


o.tjl 


1 10 


uz' 1,47 


1.04 


1. 17 


1 


ws w a. 
w by s 3, 


o,,c 

0.21 


a-!5 
[.17 


1,01 

1. 19 


I.z;, 


2.0C' 


!.36 


].21 


f'>7 




\ 


\ i 












6.03 
d tn 


5.04 

d ni 


6 05 

d m 


6,06 

d 11, 


G06 
d m 


■ 

6.07 

d rt> 


4 




Q let 6 


(el 


6 oj 


&.C2 


'103 




Sim's 1 


in's 


d m 


d m 


i r. 


1 


Amp]. £ 


y Amp 


^.oc 


7.31 


ID.1 


II. 11 


15 z 


17-T 


:o 3 


EI. 3 


n-Tl 




SOUTH 


DECLIP 


■TATION 




Deg. 


^ t 


; G 


,- d 


7 d 


IQ J 


i2d 


rfd 


170 


20 d 


22 d 


23 d 




Min. 




50ir 




30m 




10m 




]cni 






zgii) 


1 




Poini 


hi in 


1 in 


h m 


b m 


h m 


h m 


h m 


ll III 


ll nil 


ll m 


h m 




H 


Suuib 


12 


IJ 


12 


|Z 


12 


12 


12 


12 


11 


a 


12 




■ 


»by w 


i3.0j 


J 0. 


07 


^,€9 


0.11 


0.13 


a It 


o.rS 


0.10 


?.I2 


Q.23 




■ 


ts w 


0,0; 


>..I 


o,ii 


D. Ii; 


J. 13 


0.2S 


Q ]2 


O.jfi 


041 


3.4s 


1.411 


■ 


m 


awby s 


iip.i" 


14 


0.31 


0.38 


o4i 


1.51 


a.i;g 


t.07 


I'M 


t.tlj 






sw 


O.lt 


J. 3 

0-39 


0,5, 




7.56 


I 41 


1.18 


l.lL 


1.41 

2.3^ 


1.51 
1.91 


158 -' 
304 


swby w 




ws w 


.3S 


1,0:: 


i.ib 


■ .51 


i 1: 


i-,S|i.i7 


J^' 


4 3^ 


5.3,3 






w b}' s 


' 17 


z Cn 


* S5 


IS 


i-oi 












■ 




Wen 


6 00 
























. ^^' 


Sc-o 


&.OC 


-i" 


J.5J 


f'57 


vS' 


vS' 


VSS 


U'S' 


\S-^4n'V 


i 1 


ta 




M 



1 




^ 


L. 


The MariHtf'$ Ccmpaft Reified, ^ 




1. 


A Sun-Dial for the Latitude of 5 Oet^rcra. 


r 


NORTH DECLINATION. 


L 


Dfg '. 


> d 


Deg, 


<i d 


7 d 


lod 


I2d 


J5d| 


17 d 


20 d 


» dbs:^! 


■ 


Min 


m 


Mill. 




30 m 

li m 


1 m 


h ni 


li m 




h III 




19U 




■ 


Point 1 


Point 


h in 


It ID 


■ 


South 


12 


Nonli 


1 2 


12 


ri 


12 


li 


12 


12 


l> 


la 




■ 


abyw ; 


1,02 


aby w 
n n v^' 


N 

rn 


O.Ol 


0.0^ 


J, 06 


>oS 


XIC 


11 


14 


o.i6 




■ 


« s w c 


l.O* 


a-04 


lOl 


.1 - 


3 tS 


1.2 7 


>3.i6 


l.|C 


0|J 




■ 


sw by s c 


).07 


nvtf byn 


0.07 


3,1^ 


Q.ll 


If- 


JS 


c-13 


0.4 g 


3S4 




■ 


S W C 


3.10 


n w 


^ 


1 


0.2n 


0.3 t 


J 41 


0.53 


1.05 


(.1; 


1.2* 




■ 


sw by* 


3. 16 


nWbw 


15 


3.31 


o-t7 


I.O4 


t.3l 


1.40 


' S7 


3.10 




■ 


W 1 w 


'.2^ 


« ft w 


ft 


O.H 


0.51 


I. lb 


>-492 24 


J. 08 


,oe 






■ 


w by s ( 


y+S 


wby n 


r*- 


Ml 


I-CI 


















Weft 


(.OCr 


Weft 


* 






— 















* 


fct 


6.01 


© fet 


6.0i 


^_03 


6.04 


^.a^ 


6.05 


6.rt 


6.C7 


608 


9.09 


1 


L 


Sun's 


i J» 


Sun'i 


i m 


d m 


d (r< 


d Ci 


d m 


1~^. 


i m 


J m 


i m 




■ 


Amp! 


^■ic 


Amp 


;.oi 


?-Ji 


'<=•-! |b,3i 


It;. 7 


t^.y. 


»r>.5 


»-S 


^1-15 




I 


SOUTH DECLINATION, 


■ 


, Dez. 


) di Jii d 


; d 


-0 a 


12 <il 1 j d|4 / d 


10 <J 


21 a 


.jd 


^1 \ Min. 




jtsm 




lom 




loni[ 


lom 






igm 




1 


Paint 


h. m 


h tn 
12 


12 


h nil I1 m 


43 


ft tn 

12 


h lEi 


K m 
11 


U n 


b n. 


. 


Soutk 


13 


12 


12 


12 


■ 


sby w 


1.0^ 


3.0f 


O.C-« 


I.IO 


1. 1 1 


3,14 


C^ I' 


o.ih 


0.2. 


3*? 


3.1, 




■ 


S i w 


o-oli 


0.12 


7.1- 


5.31 


3.^5 


0.29 


•■^^ 


jK 


045 


&47 


J. 5c 




■ 


Bwby 


s 0-13 


3,20 


0.2- 


03J 


0,40 


J 47 


J,5. 


1.02 


i 09 


i.i& 


r-iJ 




■ 


t w 


O.JO 

' a. JO 


0.30 
0.45 


3.40 
I.OC 


IK 


1.0a 


I.I 1 




Z.ZI 


■•4S 


' S5 


1-01 




■ 


w by V 




w s w 
w by s 


'-3S 


1.1 1 


J 09 


I, go 




^■SJ 


J.I4 


3 S-. 


h+' 


^■1^ 






■ 






I 


Weft 


6 00 




















„ 




u 


fei 


5.0,^ 


^S9 


JS!^ 


i'S:- 


s-';6li-s<VvS5.\s.s'i»^s-^vs'\vv\j 


■. 


- 


1, 


m 


^^H 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


M 



go 



The Mariner^i Comfajs Remjitd. 



A Sun-Dial for ihc Lacitudc of 6 Degrees. 



NORTH DECLINATIOIV. 






The Mariwr's Comptifj Re£lifed. j 


' 1 




A Sun-Dia] for the Latitude of 7 DcgrHS. 




NORTH DECLINATION. 




Deg : 


1 d 


! dj 


DCR. 


7 d 


10 d 


12Cl 


ijd 


17*! 


10 d 


£2 d 


z) d 


^ 


Mip. 
Point 1 


in 




Min. 

?ciim 


h m 


h m 


h m 


ii m 


3 am 


It m 


'.i D1 


h m 




South 


12 


t; 


Sortti 


L2 


in 


IZ 


i£ 


iZ 


12 


1« 


12 




* by w c 


}.0i 


?.OZI 


1 by w 


CO 


O.Ol 


3.D 





0.09 


(J 1 1 


13 


0-14 




s s w t 


J .07 


^-0? 


n n w 


o.o'l 


.0^ 


,£?9 


14 


,>.ih 


a.i, 


.27 


3:1° 




^w by s <: 


1.11 


D-O^' 


iw ^yn 


.Of 


1 oi 


3.1^ 


Ct.2- 


10 


'-"17 


0.44 


04« 




S W t 




.27 


3 12 


li w 


01 

003 


3.ii! 


0^3 
-4 


31 

0.51 


°^i 

!.[!}£ 


i- 7 


1.06 
1.43 


1.14 

'57 




sw byw 


iwbw 




# S W ( 


3,41 


D.iq 


w n w 


o.ot; 


=■"?' 


-? 


..27 


2.00 


i.47 


v^« 






wby s 

Weft 


1.Z3 


« 58 


ft-by B 


J. 10 


i.on 


:.)b 




— — 










«r byn 










w n w 


601 

i ni 


6.ai 
X m 


Oftt 


6,03 
d m 


d Tl 


i.c6 
d m 


6,08 


6.9 

d in 


6. eo 
J m 


6Tr 

J m 


.1 m 




ftt 


■^ 


Sun's 


Sun's 




Ampl- 


^-3J 


5 .02 


Amp.j7.3ilio,:[is.3, 


'?-7 


IT'I^ 


lO.g 


l:i!.TC 


(5.40 




SOUTH DECLINATION. 




Deg. 





d 3 


d; d 


7 C^ 


lO ni 


lad 


IS a 


i7d 


iQ <J; 


.sz C 


23 d 




r Min. 


12 


1 b r 


1 

n fi m 


h m 
11 


li m 
(2 


r 

tl IT 
IZ 


h 01 
[2 


30m 

li m 

12 


12 


12 


h in 
t2 




Point 




South 




s by w 


0.0 


5 3.0 


7 a-or. 


0,11 


^-'> 


0. |6 


0,18 


0.20 


0.2Z 


0.34 


:3.2j 




S i w 


O.I 


10.1 


6 O.aO 


..34 


0,2a 


0-33 


0.37 


041 


4b 


50 


OS! 




swby s 


◦.1 


9 0,2 


qo.32 


^-59 


o.^jl 


0^2 


a. 52 


1,07 


•-'S 


E.ZI 


I.2i 




-■ i w 


o.z 
3.4 


a 0.3 

lo.s 


61.11 


1. 25 


r.cH 
.4. 


I.I8 


UZ9 
2.14 


1,40 
2.31 


i5c 


1.07 


a. 05 




w by * 




, W 3 W 


I-O 


t I. a 


91.52 


2 if) 


141 


3.0H 


3-3fi 


4 '^ 


+.52 


v39 






w by 3 
Weft 


2,0 

6.C 
"6.0 


62.4 


93 33 




;,:o 


sT^ 








^;^ 


Ac;!-*^ 




Q iet 


\';>'iAs-s 


^-^ 



^ 




^ 




33 7he Mariner's Compa/i RftJified. 


1 


A Sun-Dial For the Latitude of 8 Drgrees. 




NORTH DECLINATION, 


Mill. 


2 d 


) d 


7 d 


Deg. 


lod 


[2 d 


Hd 


17 d 


20 d 


^sd 


*3e 




Dee 




]Oin 


jom 


Min, 




jiom 




torn 






29171 






Point 


h m 
r2 


IZ 


12 


Poirni 


h m 

i 2 


h m 

[2 


Ii ni 
12 


h m 
1 1 


h m 

12 


m h 

12 


h, m 

17 




SoUEh 


North 




s. by w 


D.0 4 


D.O! 


0.0c 


n by w 


0.02 


0.04 


ol 


o.oS 


fj'. 10 


3, IS 


O.M 






B SW 


a.09 


0.0.5 


01 


n n » 


0.03 


ooS 


0.12 


16 


0.21 


25 


2h 






>w by ■ 


CIS 


0-08 


0.01 


raw by w 


O.Oi 


0.1! 


0.2 c 


?.27 


^■34 


j,4i 


MS 






sw 


D.2: 


!). 12 


o.os 


Jl w 


3,08 


a.|}j 


0.Z9 


5.40 


O.Jl 


1.02 


1.09 






tw byw> 


J.33 


.^.18 


■.03 


nwbyw o, I Z 


m.sS 


04; 


1.02 


1.2c 


»-3S 


'■49 






w s w 


0.53 


0.2^ 


0.05 


wow 0,2c 


46 


i.ib 


1-4)1; 


2 zH 


3.11 


4.06 






* by J 


' St- 


56 


0-K 


IV byn 


0,44 


0.^9 














' 


Wefl 


+.48 


i_2f 


|.?2 


Welt 






— 




^— 




-^— 




ta 


O fet 


6~i 
d m 


6.05 

d ni 


6 oj 
d m 


Qi'ei 


6,06 

J 111 


rt.o- 
d m 


6 09 
ci m 


'p.li 

(1 m 


6.1! 

■d IP 


J m 


d m 




■ 


Sud'j 


Sura's 


■ 


Ampi. 


Z.JI 


5.0a 


7-34 


Amp. 


10.6 


11. 3I 


'S-^ 


'7i40 


l-D.Jl 


11.13 


53.« 




^^■l 


SOUTH 


DECLINATI 


ON 


■. 


Dfg. j 


a d 


i d 


5 <^ 


7 ^ 


lOt 


• zd 


,5£l 


,7d 


ZO p 


ltd 


t$i 


^1 Mim 1 




irm 




^om 




Jim 


IQin 






tgm 




^^■1 1 


























■ 


I Point 


h III 


h ni 
12 


la 


h re 

13 


■ 2 


h fn 


h m 
12 


h m 
12 


ti in 

12 


h m 
12 


n IT, 

12 




■ 


1 ^Dnlh 


H|sbyw 


o.f6 


o--ci^ 


5.10 


0,11 


--H 


o.i( 


Q.IJ- 


0.21 


J. 21 


0.2; 


0.26 


■ 


■ 


SUV 


'.ij 


0.17 


o.zt 


0..= t) 


3.3c 


=-34 


Q.3e 


3.43 


3.47 


^ 5' 


'■54 




■ 


swr by s 


O.it 1 


0.2H 


0.34 


0.41 


),4a 


^■i5 


1.03 


[-09 




"3 


I.Zti 


J 


■ 


■ w 


0.37 


5,:H 


0,51 


I 01 


1.1 1 


i.i; 


"33 


'44 


' ss 


2.0s 


2,13 


1 


P 


sW by w 


0.47 


1.02 


I.l(! 


'•3 


1.46 


I 02 


J. 19 


236 


2'SS 


3.09 


3.22 


I 




W J w 


i.M 


'■37 


^,00 


l.Si 


1.4^ 


3. '5 


J .44 


f''7 


4..i;6 


S-3C 








w bv i 


^.20 


4.01 


1'44 


+•3' 


e.2^ 














1 




Wril 


S.co 




















1 


L 


J O fel }jrOC 


j-ys 


j-j: 


?'5^S')- 


i-5.J 


S-?' 


5.51-1^. 49 


;-4- 


5.46 


■ ! 


1 


^^^^^^^^^^^^■^^^^■^^^^^^^^^^^^^^^^^^^^^^^^^^M 


d 



r 


^™ 


O^M A^^rf'H^r* r 


fy\rfrti/lfl HfJ-lt fifrt 


J3 




■ 


J IVC ^HJM*/ 'Wf # ^jiV"'^»-(- »— ...-ry.™ 


3J 


A Sun-Dial for the Latitude of 9 Dt 


'grecs. 


NORTH DBCLINATIQ- 


Deg 


2. d 


! ^7 J| 


Deg. 


t-3 d 


rt d 


[;d 


xjA 


20 d 


22 d 


.3d 


1 


Mtn. 


jom 




jom 


Min 




jom 




jom 






igm 


1 


Pomt 


h m 
tz 


h m 




Point 


12 


h in 


h rn 


h m' 


h rn 


h ni 

12 


h m 
tz 




South 


North 


12 


12 


11 


I 


9 by w 


o.Oi 


001 


0.01 


n byw. 


0,01 


.5-03 


0,05 


0.07 


■3,09 


3 II 


0.1? 


1 




a s w 


o.n 


0.07 


5.0^ 


n n w 


o.ci 


0.06 


r-.lD 


Q.14 


0,10 


O.in 


0.26 






sw by 6 


0.17 


J. 11 


3,04 


aw by a 


0.03 


0. lo 


17 


0.24 


3.31 


0.38 


0-+^ 






s w 


o.j6 


0.16 

0,14 


i.c6 
3.09 


n w 


0.O4 

o.oCi 


3.14 

0.2Z 


0.15 
0.18 


0.36 
'■55 


0'+? 

• '3 


3-5? 
1.3c 


I.o; 

t.42 


' 


swbvw 


nwbyw 




WS W 


1.00 


3-3» 


0.14 


w n w 


0.1 1 


0.3C1 


(.04 


1.36 


2.15 


'■5S 


3-42 






w by s 


'■S^ 


1.13 


^19 


IV by n 


0.21 


1.1 












( 




Weft 


4.56 


3jf 


i.i^ 






7 


-*^ 





— 






1 




fet 


6»oi 
d m 


6,03 
d m 


6.04 
d m 


fet 

Sun's 


6.tt 

d m 




6.IC 
i m 


^.la 

d m 


6. Ill 
d in 


d ni 


6,(5 
d in 


II 
1 


Sun's 


t 
\ 


Amp. 


i.jl 


S-03 


7-3S 


Ampl. 


10.7 


"■39 


iS'>i 


17.M 


za.ifi 


uuE 


13.J0 






SOUT 


H DECLINA" 


PIC 


»N. 


Deg. 


d 


1 d 


5 » 


i 7 <iMod| 


12 d 


15 d 


I7<J 


20 d 


22 d 


2j d 




Min. 




^oin 




30m 




301I1 




jom 






19111 






Point 


h m 


h IT 


h n 


h m 


1 in 


h m 


li m 


h m 


h m 


h m 


K m 






SoOth 


J2 


12 


12 


IZ 


I] 


12 


II 


12 


12 


11 


iz 






s by w 


3.0} 


0.0^ 


O.I 


0.13 


O.IS 


0.17 


i^ 


0.21 


0.23 


Q.ZJ 


3.26 




^^ 


s s w 


o.iS 


B. I^ 


0.2; 


[ 0.2J 


0.31 


0.36 


0.4c 


0.44 


0.4^ 


0.52 


o.;6 




^^pw by f 


0.24 


0-3^ 


0.3; 


0.44 


0.50 


o-sr 


1 04 


i.I2 


i.r9 


1.2^ 


i-J« 




^B'sW 


0.3O 


0-4? 


o-s; 


i.o; 


i.iS 


Lit, 


1.3;^ 


1.4^ 


'-59 


2.09 


i.ib 




^^Biw by w 


0-S3 


i.o; 


1.2: 


1.36 


1.51 


2,07 


2.24 


2.41 


»-59 


3.14 


1-28 




^^ 


WS w 


"•*3 


1.4^ 


z.oi 


i 2.31 


2-SS 


3.21 


J. 5c 


4.22 


SO^- 


;.40 








why s 


'■33 


3.1s 


2.?: 


^ +■3'; 


5.27 














, 




Weil 


G.oc 






















H 




iei 


6.0c 


iSi 


5-j; 


' ssfj 


»-S4 


5.52 


S SO 


S.48 


S.4t 


i4S 


S-4A 


I 


ta 




d 



36 



The Marifier'i Compajs ReHiJied. 



A Sun-Dial for the Latitude of I3 Degrees. 



NORTH DECLINATION. 



Deg. 
Mm 




The Mariners Compafs RcBified. 



35 



A Sun-Dial for the Latitude of 1 1 Degrees 



NORTH DECLINATION. 



Deg. 
Min. 



Point 



South 
$hyvi 
s 9 W 

whys 



w by ; 
Well 



O fei 



Sun's 
Ampl. 



2 d 



1 m 

i: 
.007 

0.t£ 

as- 
t-17 

2 19 
; 08 



6.Q1 



i.JJ 






a 

0. tc 
o 14 



o 3? 

1.43 
f '3 



7 d 



h m 



z 

O.O) 

d 06 
0:0 f 

^^ 

on 



JO d 

ti m 
o.ol 

003 
^ 04 



6,0 



d m 



606 



J m 
7-J« 



R by w 

n n w 

[Iwbyn 

11 w 



0.06 

13.2 
[.40 



608 



d m 



Dcg. 

Min. 



Point 



nwbw 
wby n 



Q fet 



Sun'* 

Amp 



II d 

}Oin 

h m 



12 

J.Ol 

004 

0.06 



6.1c 



d m 
11.44 



Sd 



h HI 



11 
O.qj 
07 

0.1 I 

3. J 5 
0.41 



6-12 



d iti 

);-i7 



I7d 
jom 



h m 



It 

COS 

o.rS 



0.42 
j.r2 



6.14 



d m 
17.50 



zo d 



b m 



11 

0.07 

3.59 



1. 00 
1.47 



6 It- 



d in 

2 a. 14 



11 d 



h m 



It 
o-og 

o.iO 

0.45 



I. Is 
i.23 



ft.18 



d m 

l*-87 



2jd 
h m 



12 

9.1 I 

a 56 



1. 18 



6.19 



d m 



SOUTH DECLINATION- 




36 



Tbt Mariner'i Compajs ReSifed 



A Sun-Dlal for the Latitude of 1 2 Degrees. 

NORTH DECLINATION. 



Dcg. 

Mm 



Point 



■South 
s byw 

B S W 

swby s 

5 w 



; d[7 



0.07 
0,16 

0.2; 
^■37 



swby w 

w by s 
Weft 



li in 

12 

9 

0.18 



0.S5 



O fet 



d 
30m 

h. m h 



od 



ii 
0.04 
0.0 

0.11 
o.lB 



0.41 

1.04. 

4.23 






D o: 






-..cq 



m 



12 

0.C4 
0.0; 

3 08 



Deg. 



Poim 



Nonh 

Ti by K 

n n w 

nw by TV 

n w 



3d 
30m 



h m 



d.li 
o. Icj 



12 

o.dc 

a.Oi 
0.0 1 
■J oz 



\.f[ *ur6 



nvrb/w 
* n w 
w byn 



t m 
5.07 



6.06 



d HI 



b O, 



10. r 3 



.5d 



ti m 



17 d 
h m 



0.05 

0.08 



]2 

0.04 

o. IC 

o-i; 

0.J3 



;3 (t 



»1 



0.03 
5.05 
0.11 



□ .■9 
i.i; 



O Tet 



Amp. 



6. II 



d m 

12,4! 



12 
□.07 
O. I4 
0.23 
0.3s 



h. fn 



C'3S 

I OD 



3,09 
0.18 
0.29 

Q.44 



»-3 + 



6.13 



d m 



6.15 



6.[? 



z3d 



h. m 

12 

a. 10 

O.J4 
0.51 



1.-09 
2.07 



b.-zo 



d md m 



d III 

X..J1 



I.Zl 



6.2 1 

d m 
14- S 



SOUTH DECLINATION 



Deg. 

Mi". 



o 



Pohit 



South 

a by w 

S B W 

sw by s 



h m 



I 
0.09 

' 47 



d|2 ti 

om 

h m 
tz 
■ t I 

0.24 



swby w 
w i w 

w ^y 5 
Wert 

G iet 



1,09 

[.47 

6 o- 



Ay 6 
jom 

m h ni 



■58 
0.56 

1.23 

i-39 



IZ 

051 
1.16 



10" d 



h m 



30m 



451 



0.17 

0.53 
[.26 

2 06 

3.14 

5-3* 



\t 

019 

3 40 
10 

1.36 



£.2 



h IT. 

13 



• yd 
30in 



h m 



zz dl23 d 
jsgin 



12 
0.23 
0.4^ o 49 

1.13 
1.46 

2T7 
4.04 



S-49 



S'47 



1.19 
1.57 



4.53 

4-33 



h m 

25 

1.26 

5,07 



h. m h ID 



5.45 ^.41 



12 

3.27 

i'S7 
1.31 
I 1 



3-«7 
5,41 



12 
-).29 

1.00 
'•37 

i-39 



5.40 



•39 



F 


^^^^^' ^ 


^ 




T'l&r Mariners Corapafi ReSi^d. 37 


1 


A Sun-Dial for the Latitude of 13 Degrees 


NORTH DECLINATION. 


Dcg 


I A 


-> d 


r d 


Lo d 


ltd 


Dcg. 


L^d 


»7d 


20 d 


12 djz] d 




Mirt. 


i m 
12 


;0Tn 
1 m 

12 


!i m 

12 


1 m 
13 


1 m 

12 


Min. 


h m 
li 


join 

h ni 

■ z 


h ni 


h m 


h m 

12 


1 


Point 


Poiiii 
Nonh 


South 


12 


U 




sbyw 


D.oS 


D-06 


3 041 


3,0.' 


3 OC 


n by w 


->,oi 


0.04 


o.t 6 


o.;S 


009 


■ 




saw 


xi; 


3.(3 


3. 09 


30^ 


1,0 


n [I w 


003 


..oS 


0.12 


o.i< 


J,I>. 


■ 




swby ( 


3,28 


3.11 


3,15 


3,0^ 


SOI 


iivbyn 


0.06 


0,13 


0.20 


o.z6 


0.31 


■ 




s w 


3.41 
1. 01 


0,4,7 


3.2? 
3.31 


3 12 

3. iB 


3.C2 

3.03 


n IV 


0.08 
O.lt 


0.29 


45 


0.4.C, 
1.01 


0.47 


1 


swby V. 


iiwb w 




w s tv 


1-11 


I. 12 


D.JI, 


-),1H 


3,0- 


w h w 


3,21 


o-4'i 


r.2i 


1.^1 


J.Z2 


'V 




w by ^ 


M' 


z.oH 


'33 


3.S4 


3.IC 


wby n 


0.4^. 










^ 




Weft 


5 m. 


43' 


^4-1 


2.41 


i-os 


*"^ 








■ 






■ 


■"© (ci 


S.qa 


5.0^ 
"i m 


6 07 
J n 


5.0, 
1 111 


5. II 


©fet 


d 1)1 


5.16 

d m 


6 19 
J III 


d m 


6.75 
d in 


1 


■ 


San's 


Sjn'i 


1 


Ampi. 


1.34 


5.0B 


7.42 


iai6 


U.49 


Amp 


15.14 


>7-59 


2 0.3 J 


ia.37 


U.11 


1 

1 

i 


" 


SOUTH DECLINATION. 


■ 


Deg. 


3 C 


ii t 


W ' 


i? ■ 


i 10 ( 


Jizd 


i^ dJi7d 


20 d 


3Zd 


Md 


■ 


Min. 




3 on 


1 
1 h n 


3 en 
1 h 11 


1 h n 


3&jn 


h m 


li m 


h m 


h m 


^9111 
h m 


■ 


Point 


h n 


1 K n 


^1 North 


11 


LZ 


12 


12 


13 


12 


12 


1 . 


13 


12 


12 




s by w 


0. i( 


3 0.1 


1 0. t 


,a 1 


■ O.t 


S -5 zo 


■i.7 1 


o.^^ 


Hit 


n.zS 


29 




^T » S W 


0.2 


t a I 


) 2 


50.3 


30-1 


B a. 42 


^t 


3.5c 


' SS 


0, HJ 


1.02 




^P sw by s 


03 


\°-\ 


1 5.4 


-0.5 


4 r 


1. 07 


1 14 


1. 21 


1.28 


'J-t 


I.J9 






9 w 


■^■s 


1.0 


:■ i.i 


: I.I 


\, l.Z 


9 t*39 


t 5' 


2.01 


2 12 


2.21 


^^9 






sw by I 


V I.I 


, 1.2 


b 1.4 


' '-5 


5 2.1 


I 2 -16 


M' 


2.S* 


3 'S 


3-3° 


34* 






w s w 


'-5 


1 *•> 


S2.3 


IS 


? I z 


D 5 43 


4-08 


+■37 


;.09 


5.40 








w by s 


3' 


1 J-4 


? +-2 


-+•5 


! ;-3 


4 














■l WfJt 


0.0 










. 














" G> let 


6.o< 


:5-! 


B5.5 


> J'5 


3 i'S 


I 5^Q 


lv^fc\SA^V, fi,A\-^S\SAA 


^ — ■ - ; 



38 



The M&rinef) Compajs. Re^id. 



A Sun-Dia]'for the Latitude of 14 Degrees. 
NORTH Declination. 




Tht Mariner* s Cotnpafi ReSlified. 



A Sun-Dial for the Latitude of 7 Degrees. 





24 



Tbe Mariner's Compt^^ 



A Sun-Dial for the Latitude of o 




NORTH DECLINATION. 







Til MariturU Cmpajs Rx^ijitd, 41 




A Sun-DiaL for the Latitude of 1 7 


beg 


rees. 




NORTH DECLINATIC 






Deg. 


2 d 


5 <) 


7 <i 


10 ci 


i2d 


.?d 


Deg. 


.7d 


20 d 


22 d 


23 d 




I' 


Min. 
PoiDt 


30m 

h m 

12 


h ID 

IZ 


30m 

h m 

12 


k ID 



12 


h m 

12 


h m 


Min. 


30m 

h m 

12 


h 111 

13 


h, m 

12 


29m 

b m 

12 


1 
1 


Point 


South 


North 


J 


^B 


sby w 


0.11 


0.09 


007 


5,06 


O.D4 


D.02 


nbyjw 


0.00 


0.02 


a,) 


3, 06 


H 


^H 


9 5 WB 


15-14 


3 20 


P,i(. 


3, J J 


9,0b 


0,0,1 


n n w 


0.01 


0.0^ 


0x9 


}.|2 


1 


^H 


sw by s 


03» 


D.J? 


..,2S 


0-19 


o-n 


D,Ot 


nw byn 


0.0 ] 


a„oS 


0-1 S 


0.191 




H 


s w 


0.5 & 

■ 2] 






028 

0-4) 


0,27 


0.08 
□ .II 


a. w 


O.OI 

03 


, 13 
0,19 


22 
0.33 


0.29 

^45 




sw byw 


fiwbyw 




^^B 


w $ w 


2.02 


1.41 


I 21 


1-01 


0,42 


0,19 


IV n W 


a. 05 


^.r. 


o.^« 


1.2c 




^H 


w by s 


,.16 


i.48 


Z.20 


1.+^ 


1. 16 


^-37 


wbyn 


q.li 


.^c 








F 


Weft 


vi? 


t-5J 


+-lti 


3-i9 


i.;4 


'-SS 














w by n 






5.50 


4.11 




1 


^1 


© fee 


6.03 


6,ot 


6.09 


5,12 


6 IS 


6 19 


ftt 


6,12 


' 2; 


^2« 


& JJ 


' 


^P 


Sua'j 


•i OJ 


d m 


•J m 


J in 


<i ni 


li m 


Sun's 


'i Dl 


d in 


J m 


d m 




L t 


Ampi 


i-it 


J-I5 


7.5c 


10.18 


I' 
1 I 


.04 


15.42 


Amp. 


18.19 


"■57 


'4-4 


24.40 


1 


S OU T H E 


iCL I NATION. 




Deg. 


a d 


2 d 


S d 


7 ^ 


lod 


tzd 


"id 


,7d 


zod 


12 


:3 d 




1 


Min. 


. 12 


50m 
!i m 

13 


12 


12 


ii ID 
12 


Ii iti 
12 


h m 
12 


jOm 

ll Hi 


1^ 


h ni 
12 


25m 
t in 
12 


- 


Point 




South 




^1 


s by w 


^■'3 


^-'! 


0.17 


J. 19 


5.21 


02.^ 


o.aj 


0.27 


0.29 


^^■3' 


^■3"> 




^H 


saw 


o.zlj 


0.3Z 


^.jt 


0-39 


0.41 


0.47 


>-5- 


D.J 6 


i.OI 


1.04 


1.V7 




^H 


swby s 


o,+4 


0.50 


0-5 7 


lOJ 


I.OLj 


11'. 


'-*3 


I.JO 


■•3' 


1-4' 


1 47 




^H 


B W 


1. 05 


t.14 


[.3^ 


1 13 


1.4^ 


• S' 


2.-2 


2.13 


2.2^ 


25a 


i.39 




^M ■ 


SW by w 


1.3s 


i +^ 


Z.OI 


2.14 


z sS 


.42 


^-r 


3-li 


3.27 


>4- 


3-S4 




^H 


w s w 


2,2 1 


2.40 


3-SV 


;.ia 


i-39 


4.0. 


+.2: 


+■+7 


i-H 








^H 


w by 5 


5'4" 


+.K 


+■3': 


,-.o; 


S-3. 
















^^^H 
^^^H 


Welt 


1 00 






1 








■ 


■ 


■ 








© fei 


J.UO 


M 


I 


I 


1 


id 

I 


1 


I 


1 


■ 


■ 


1 



26 



Tbe Manner's Csmpafs ReSified. 



A Sun-Diai for \\\t Latitude of i Degrees. 



3 




Tbt Mahntr*j Ctmpap RtSifitd. 



37 



A Sun-Dial for the Lacicude of 3 Degrees. 



NORTH DECLINATION. 



o d 



h ta 



it 

0.05 
o.oS 

0.1 2 



D.I 8 

0.59 
6.00 



6.00 



d m 

0.00 



Dcg- 

Min. 



Point 



h m 



North 
n byw 
n n w 
nwbn 
n w 

nwbyw 
w n w 
v¥ byn 

Weft 



&Vt 



Siim's 
An\pl. 



3001 



12 

N 
3 






h m 



T 

;jom. 
b ID 



12 

a.. 3 
.■05 



3 1 1 
0.41 



'j 00 6.CC 



il in 

j.oo 



10 d 



12 

o 07 

3.12 
SlS 

1.40 



m 



2 
o.of 

|0'43 
It I 

*'57 



iz d 



15 d|i7 d 



' 12 
O O 

139 



16.01 6.0! 



■i m 

J.JO 



d m 

o. 



12 
^■33 

0.(0 

1.16 

t 1 1 



5 O! 



d m 
J1..31 



60-, 



15.1 



ts 
O.J 5 

J.4C 

1 oi 



34 
147 



6.0, 



10 d 



h m 



13 

0.14 
o 29 

' 'J 



1.54 

J-33 






604 



d m 

Z0.2 



'id 



h tn 



12 

o 16 

0,3 

lie 

433 






K m 



fa 

O jfc 

'S91 



6.05 



60s 

d m d m 



SOUTH DECLINATION. 



Deg. 

Min. 



Point 



h m 



Soutti 
5 by w 

s s w 
swhys 

s w 



£iv by w 

w 5 w 

w by s 

Well 



Q fet 






12 

3,02 
3.05 

0^.1 a 



0.18 

OS 

j 00 



s.oo 



m 



00; 
0.09 
o 15 

0.22 



3-33 

0,53 



5 d 



!Z 
0.07 
3-13 

3^ 



043 
1.17 
2.40 



7.d 
)om 



h tn 

IT 

i.og 
XI B 

..zB 
D.42 

1.42 
J3« 



6.0Q 6,-0 



tS9 



lOd 



12 
o, 1 1 

^■53 



1. 19 

2 09 

+-SS 



12 d 

lom 



h m 



t2 

0.13 
0.26 

'■3J 
2.3; 



Sd 



t2 

oi; 

3' 
^■49 
J. 14 



1,52 
1.09 



,7d 



12 

0.17 

1.2' 



2. It 

>45 



?-s81i 5S ;s^U^s^v-^H^^^^^W^-^ \ 



20 d ^ z (1 



Il th 



IZ 






13 

3.11 



3.40 3.44 
1.04 

'■57 



1. 10 

1 47 



■J' 



I3.L 



D.2J 

1.15 



^^ 


^^^^^^H 


^^^H 


^^H 


^^^H 


^^H 


^^^H 


^^H 


^^^H 


^^^B 


^^^B 


^^H 


^^^H 


^^^H 


n ' 


^^ 


1 1 

1 


28 ffe Marinft'i Compap ReSiJitd. 




A Sun-Dia! for the Latitude of 4 Degrees. 




NORTH DECLINATION. 


9^ 1» 


d Peg. 


> d 


7 'i 


<o d 


lid 


iSd 


17 <i 


tj d 


zx d|;3 d| 


^^Bflm 


01 Foini 


12 


1 m 
II 


1 jn 


join 




,om 
1 m 

IZ 


1 ni 


1 Dl 
12 


29 m 

1 111 

13 




^^Vomt 


I m 
12 




^HEouith I 


I Nonh 


^^■bvw DC 


)i R by w 


O.QI 


3,03 


6,a^ 


?.o7 


009 


0,11 


0,13 


o.i; 


J. 17 




^Bisw 


)i ft n w 


OOI 


5.06 ii [ 


-).i4 0.19I 


0.13 


St 


^•V 


^.1^ 


^J 


^Bwbr s 


J* BWl»)W 


1 01 


3.-9 


0.16 


j,ij 


j'.3oo.3& 


3.4s 


1.51 


3.S7 


^1 


^B s w O ( 


J. nw 


0.04 

o.o6 
0. ic 
0.2 1 


1.17 


0.14 
1.01 


Ml 
0-53 


^i 


m; 


1 og 
1.4; 

].ZI 


1.19 

I.D4 


t.27 
1,17 


J 


PHiir by « a t 

1 « S W J. 


" fiwbyn 

j!«byn 

,^ Weft 


1 10 

Z.O0 




^■0~^t 6 


oc fct 


60^ 


fi.ca 


-)03 


6,03 


3,04 


605 


6^06 


006 


f>.oy 


1 


^^■-^ha's -1 


IT 3Ua'f 


d m 


d m 


d 11. 


d ITi 


d m 


>1 111 


d II. 


lI ni 


d m 


^M 




Affpl- Ji 


jr Am|i- 


i;.OC 


7.31 


10. 1 


I!.V 


15 2 


17-T 


10 J 


21-3 


im 


5 


SOUTH DECLIISrATION 


^m Dee-. ) 


'. c 


; 07 d 


10 d|i3 d 


ic dTi7 d 


20 (f 


22 i 


23 d 


^H 


^H Mim. 




jon" 


}om 




■(om 


^cni 






XQm 


'^1 


^H Point 


!^ IT 


■I in 


h m 


h m 


h m 


h ni 


h mjh III 


h m 


h ID 


h m 


^1 


^B iMwib 


13 


IZ 


1 1 


12 


12 


1£ 


12 


12 


|] 


12 


ts 


jH 


^Hl kbr w 


OOj 


J 0- 


J 07 


J.C9 


9.1 [ 


0.13 


3. 16 


0.18 


o.:o 


:.i2 


0,13 


^H 


^11 IS w 


0.07 J. 1 1 


O-H 


Q. l(j 


^'*3 


0.2b 


D JJ 


D.V 


■>4l 


=.+s 


..48 


^H 




swoys 


1 1 si. I ■ 


34 


0.31 


0.38 


04i 


..p 


3.^9 


1,07 


113 


t.ilj 


^H 




sw 


o.if 


0.35 


o.si 






1,07 
1 41 


i.ta 

U5« 


1.21. 


l. + i 


I, SI 

J-Jl 


1 58 


V 




iwbyw 


o.?4 


'•'? 


'•35 




w^ w 


^3« 


I.O- 


t-zO 


1.51 


i 17 


'■IS 


J-'7 


I ^2 


4 3« 


S-33 




1^1 




w by s 


' '7 


1 O! 


= tS 


l^ 


i.OI 














^^ 




Wcfl 


6 00 


























& fct 


S 00 


&.flC 


','" 5 


S-5^ 


S-57li-5- 


SS' 


^■Si 


S-S^ 


SS^ 


S-S3 




.A ^^k 


1 



^™ 


^^ "^^^^^ ^^^^^ 


n 




The Mariner's Cfimpafs ReSiified. ao 




- 


. — 1 




A Sun-Dial for the Latitude of 5 Oei^rars. 


4 


1 


NORTH DECLINATION. 


^ 


D^ : 


) d 


Dcg. ; J| 


7 -3 


10 d 


lid 


ijdj 


17 d 


lOd 


IX dhs.^l 


■ 


Min 




Mm. 


jom 


join 




JOP) 




lOBl 






tQtn 




1 


Point ' 


m 
12 


Point 


h ji) 


h m 


ii m 
11 


h m 
12 


Ji m 


II in 


h Ri 


k m 


b ID 




South 


North 


II 11 


11 


LZ 


LI 


iz 


iz 


■' 


iby w , 


),oi 


nby w 


^O.OI 


0,04 


3.o5 


loS 


0.1c 


(2 


a 14 


0.16 




■ 


s S w c 


>.o^ 


n n w 


7^ 


0.04 


io8 


■'3 


IK 


3,1 1 


0.16 


i.,t 


oil 




■ 


iw by ^ . 


J.07 


nw byr 


0.07 


3M 


O.SI 


a^ 


<3 3S 


C-13 


0.4^ 


5-S4 




■ 


s W C 


J.IO 


11 w 


^ 


I 


rj.ir- 


0.31 


J 42 


0-53 


I.Oi 


IIS 


[.la 




■ 


stv byK' 


).i6 


ftwbw 


0.15 


3.31 


0.+7 


1. 0-1 


1-21 


1,40 


' S7 


i.to 




■ 


w 1 w 


1.2^ 


«■ n w 


n 


0.1^ 


C».?l 


i.i»i 


1.49 


J. 24 


l.oW 


»oc 






■ 


w by s 


3.4S 


wby n 


r4-' 


-m 


E.Dl 
















I 


Weft 


4.00 


Weil 



















^ — 







I 


fct 


■5.01 


Q frt 


6.0; 


603 


i5!^ 


■5.0^ 


&.OJ 


5,L-6 


5.0- 


5.08 


5.09 


. 




Suji's 


J m 


Sun's 


i m 


d m 


a it; 


d m 


i ni 


1 m 


i m 


J m 


1 m 






AmpI 


I.^C 


Amp (;.oi 


7-t' 


to.i 


11.31 


U-' 


i'.3. 


10.S 


l»s 


'J-55 


[ 


SOUTH DECLINATION. 


Oeg 


. d 


2 d 


,- d 


7 d 


d 


iZ d 


.,d 


lyd 


20 d 


i! 


.3d 




Mln. 




(om 




lOffl 




loni 




lotn 






1901 




H I Point 


h in 


i\ m 


1 m 


h m 


li tn 


h IT. 


ik m 


b ni 


h in 


ll D 


h 0. 


. 


H 1 Souch 


U 


LI 


13 


iz 


11 


tz 


>2 


>rz 


'» 


tt 


LZ 




■ 


9 by w. 


3.04 


^■5.0^ 


o.oK 


i.lP 


1.1 ; 


J. 14 


1' 


0.1 14 


0.2- 


3 27 


a- 24 


1 


■ 


i J W 


008 


0.12 


3.1- 


1.21 


3-25 


3.29 


'•J^ 


3tl 


04J 


^♦7 


ajc 


■ 


swby 


01 3 


3.ZO 


o-s- 


>JJ 


S.40 


^+7 


>5u 


1.02 


I 09 


1.16 


(.<i 




P 


5 w 


0.20 


O.JO 


3.4Q 


5. ;r 


(-00 


i.i 1 


1.1^ 


'■13 


1.45 


'SS 


1.0 i 




L 


* by V 


\l 0.30 


o,4i 


I.OC 


> M 


I.JI 


1.4.6 


^■05 


Z.XJ 


J.4.T 


l.^C) 


J »' 


■ 1 


b 


W S M 


5.48 


l.ll 


I 3* 


z 00 


z.2b 


! SJ 


J.24 


sys 


M'- 


M5 


]■ 


■ 


whys 


' Ji 


III 


J 09 


1.01 


?" 












■ 


■ 


Weft 


6 OQ 




















:" 


■ 


let 


, 6.ar. 


^59 


;s^ 


T-S7 


S-6 


rf 


y-ss 


id.t 


1 S3 


5 5* 


ss< 


L 










^h 


m 


^H 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


ri 





^B so 7be Mariaff't Compa/s ReStifiid. 




7J 


^m s-* 




I^^H 


" A Sun-DiaJ for the Latitude of 6 Degrees. 


d 








NORTH DECLINATION. 


ta iP^' 


E d 


J d 


De?;. 


7 d 


10 (J 


12 d 


i; d|i7 dja.-- c 


Z2 ( 


^3 d 


^^^A{a 


;Oin 




Min 


jom 




30m 





,oni 


-_ 




Zi^m 


1 


^HTOUlt 


1 m 


ti ni 


Poini 


li m 


!i m 


ii m 


h ai 


h in 


h m 


tl Itl 


l> m 


J 


^Hgouth 


12 


12 


North 


12 


12 


12 


12 


J2 


J2 


1 2 


II 


^J 


^Bi Li-y^ 


3t3 


3.CI 1 


I by w 


0.0 1 


3.03 


05 


?.?/ 


O.Ot) 


0.1 ' 


0.13 


IS 


^1 


^Ksa w 


3.o6 


3 o2 n tl w 


0,01 


C7 


-ril 


3.115 


o.jt: 


J2i 


i,2S 


'.1' 


^^ 


^Bkby » 


1.D9 


i.oi nwbyw 


t?.04 


0.1 1 


3. lb 


^2> 


op 


-.-^L- 


''.46 


051 


1 


^ ' 


3 14 


3.0+ 


IHV 


■.06 


a.\t 


O.I? 


OjJi 


!_+'. 


1 Ql 


•■IC 


i.itj 


1 


JW byn 

* n W 
*by n 
Weft 


^^pvtiytb 


3.Z1 


J.06 


..09 


ozi 


41 


0.5/ 


MS 


'•34 


1,5c 


2.01 


J 


^B^s ^^ 


3-3^ 


3.0 V 


o-l 


5.j).0 


[.□b 


1 JS 


^ii 2 


'55 


3-4-1 




^H 


^Hr by a 




MS 


0.12 


'34 


3.24 













. 


1 




■Eofet 


S.ci 


6 02 


ici 


6.0; 


' 04 


6.C15 


6,06 


6 07 


6,09 


6 10 




■5.[i 




^^^•n's 


4 m 


d m 


Sun's 


d in 


J u. 


d in 


d {T 


J ni 


d .; 


4 m 


d m 




^Kttpl. 


2.3c 


,-.01 


Amp. 


7-3^ 


10.5 


ia.!4 


'5 5 


17,56 


:0.6 


2*7 


n-i? 




■ SOUTH DECLINATION 




i 


i z c 


1; a 


7 tJ 


io d 


12 a 


iSd 


17J 


JO d 


2Z d 


23 d 


^f Mm. 




3&n 


1 


jOm 




3?m 


■ 


30m 






ZQm 




T Point 


h r 


1 li tl 


1 li m 


li m 


h m 


li m 


h ni 


h jn 


h m 


h lu 


h m 




^H iauUi 


12 


11 


II 


iz 


iZ 


IZ 


iz 


12 


ri 


12 


12 




^H s W » 


J.O 


S 


7 0,og 


1.11 


0.13 


0,15 


o,>7 


0.1 9 


0.1 1 


J. 23 


o.z<i 




^H. S9 W 


0.1 


^0. r 


1 i-.iS. 


0.22 


l.ZJ 


O.Jl 


03? 


O.ij^O 


044 


5.48 


M" 




^Hsw'by^ 


1 


5 p.z 


3029 


J. 36 


3.43 


o-SC 


3.S7 


1.04 


t.K 


i.i:i 


J. 33 




^H sw 


3.8 
03 


1 0-3 


t ■'■+1 
3 I.D5 


1,20 


I.Cj 

.76 


1.52 


2.0^ 


<-37 

2,26 


1.4:^ 
2.45 


J.OI 


s 06 
3''5 




PHitvby w 


(1 W3 W 


M 


? J'i 


" ' 44 


z.oh 


'■34 


3.0J 


3-3' 


406 


14h 


?-!7 






^^ w br s 


35 


1 2.3 


i i,23 


4 'J 


,.i(. 
















■ welt 


60 


3 










' 






^^^^ 






^Jf. *; J^x 


6 


3,-.< 


; ? s^ 


s-5:' 


!.^6 


S'fS 


!-;4 


^53 


5-Si 


S ?o 


5-^9 


M 


1^ fl 


1 



i 


The Maritur's Compdfs Re^ified. 3 


■ 1 






A Sun-Dial for the LadCude of 7 Degrees. 






NORTH DECLINATION. 




, 


Deg. : 
Min 
Point i 


1 d 

1 m 
12 

J. 12 
5;l8 

3 "13 

1,23 
6.01 


3 I'm 


Min. 


7 d 
jom 

li in 

12 

CO 

0.0 i 

0.05 
J. 10 

6.03 

d m 
7-31 


JO <J 

Ji m 
iz 

0.0 1 

>.a; 
< oil 

o.iS 

l.O» 

i IT, 

ia.7 


h m 

12 

o--,4 
0.5- 
3.30 


.5d 

h m 

11 

Q 

14 

J 2- 

0.51 


17 c 
30m 

11 
0.09 

ICI 

^) 

1.00 

S.,9 
d m 


20 d 
h m 

i2 

a n 

■""37 
gu 


ii ID 
IX 

13 

-27 
0.44 


13 d 




1 


h m 


Point 






South 

s i w ( 
^w by s ( 

s w 


13 

0.03 
0,05 •■ 

■3 il ' 

6.o: 


\orth 
1 by tt 
n n. w 

ii W 


12 

0.14 

30 

.48 
1.14 

d ill 






3w byw 

w ■ w 
whys 
Weft 

w b;; n 
w n w 


iwbw 
w n w 
.i.'by n 


t' 7 

6.10 

J m 
20.9 


'•43 

3. at 

ft.ri 
J m 












iet 


a fee 


5,c6 6.o8 




" 


Sun's 
Am pi. 


J. 31 


J m 

5,02 


Sun's 
Amp. 


d m 

ia..-5S 


In, 

1^7 






SOUTH DECLINATJON. 






Deg. 

Mih. 


d 
h [11 

IZ 

a.06 
0,11 
0,19 
0,28 

^.41 
l.Ot 

2.06 

6. CO 


2 


is d 
1 h m 


7 d 

h m 

It 

0.11 

3.39 

0.58 

z 16 

MI 


]j m 

13 

3 '3 

OH J 

t.cR 

'■+' 
2,4. 


12 d 

lOJTl 

ii m 
12 

a.i5 

1.18 

J.08 


h. m 

Ii 

0.18 
C.37 

1^9 
2. J4 
3-3S 

Mi 


30m 
h in 

12 

0.20 
:>.4i 

1.0; 
1.40 
2.31 

41-1 

k5X 


20 tl 

h m 
iz 

1. 15 


23 d 

0.24 
;o 
1.21 

J.07 
5-39 


23 d 

£^ni 

tl ni 

12 

0.25 

l.Z; 

2.09 






P-oJnt 






South 

s by w 
a s W 

awbys 


13 

3,o 
0.1 

o.Z 
0.3 

0.5 
1.2 

i-4 


11 

B 0.48 

5 1.1.1 

9 1,52 
3133 






w by w 

. w s w 
w by 3 

Weft 






Q let 


6,0 c 


l-J 


JS,S6 


k 



F 


^ 




,' 


■ 


y 


a2 ^i"? Mariner^t Compafs ReHijiM. 


1 


1 


p 


A Sun-Dia) for the Latitude of 8 Drgrees. 1 


^ 


NORTH DECLCNATION. 


Mill, 


z d. 


.' <J 


7 d 


Deg. 


JO d 


rz d 


Md 


.7d 


10 d 


i2d 


i3<" 




Dcg^ 




30m 


50111 


Min. 




join 




lom 






29111 




■^ Point 


h m 


h m 


K fn 


Point 


h m 


h m 


h m 


it m 


h m 


m h 


h m 




^Hbouth 


12 


tz 


12 


North 


12 


12 


12 


IS 


12. 


i: 


IZ 




^^h bv w 


O.0.1 


5.0J 


O.fJC 


n hy w 


□ ,OJ 


0.04 


oC 


■3.o3 


Q.IO 


3,12 


O.lr, 




^" |6W 


0.09 


0,05 


a 01 


n n » 


0.03 


008 


a. 12 


a 16 


D.3 1 


oas 


Q Zt' 






*« by ■ 


O.IJ 


0.08 


0.01 


nwbyw 


O.Oi 


0.1: 


O.ZC 


%i7 


0,3^ 


^.41 


MS 






i W 


0.13 


-*.iz 


o.oz 


n w 


J. 08 


a. 18 
o.b8 


^'9 
04S 


J.4C1 
1.02 


0.53 
I.2C 


i.Oi 
'■35 


I.OC 

149 




sw hyw 


^■33 


j.iB 


.OJ 


iiw[jyw^ 




w sw 


o.y. 


Q.as 


0.05 


IV n w 


O.ZQ 


0-46 


1.16 


1..4K 


2.3H 


3.11 


4.0& 




, 


w by ! 


^ 3<^ 


3 56 


o,lc 


iw byn 


0,44 


0.(9 














Ir 


+ 4« 


i-zf. 


I>IZ 


Well 






^^ 




^^ 




■^^ 




ta 


© fei 


6 01 
d m 


5,05 


6 oj 
d m 


0Jel 


6.06 


6.0- 
A m 


6 09 


d m 


6.12 


■ll ; 


9TI 
d m 




■ 


Sun's 


^un's 


d [11 J m 


■ 


Ampl. 


1.31 


5.0a 


7-34 


Amp. 


10,6 


II. ]8 


'S-'. 


'7"1o 


iO.lJ 11- J 3 


ai.4S 




^ 


SOUTH 


DfiCLlNATl 


ON 


^ 


Dcg. 1 


d 


! d 


5 d 


7 f 


10 1 


12(1 


.,-d 


i7d 


zO p 


ltd 


23 d 


■ l Mini. 




(cni 


__ 


;oin 




3:111 




iriih 






2901 




■ 


1 Pome 




h m 
1: 


h m 

13 




\ m 

12 


h m 

12 


Il m 


h ni 
12 


h 111 
12 


12 


n n-. 
12 




■ 


1 ijouth 


Blshy w 


xc6 


o.(^ 


:i.io 


0.12 


^,14 


l( 


11' 


0.21 


2.23 


0,1: 


0.26 




■ 


S 8 W 


5.13 


■a. J 7 


0.21 


0.36 


D,_^C 


^'34 


0.38 


5-43 


3.47 


3 ;i 


'■S4 




■ 


AHT by 5 


c.ii 


o.zK 


ojl 


0.41 


I.4H 


^■S5 


I.DI 


1.05 


1 17 


'23 


I.2H 




■ 


• w 


0.3J 


%^l 


0.51 


i.oi 


1- t 1 


I-2: 


'■33 


'44 


' ss 


i.C? 


I 13 




P 


nw by w 


0.47 


1.02 


j.ir 


1.31 


1,46 


I 0£ 


:.19 


^36 


-■IS 


l.og 


3-2» 




[ 


w» w 


I.I4 


1.3: 


2.0C 


z.a. 


1.411 


3-'5 


t-44 


4.1; 


4'!;& 


?-3f 






■ 1 w ty s 


S.30 


;.0l 


144 


+-.it 


S-2-! 
















^ht Weft 


5.00 
























^ 


;© fe: 


J.OC 


>!^ 


j-s; 


i.S( 


'sT* 


i-5jl5-!i 


?Sf 


v4S 


J-4- 


S.46 




ta 




1 

J 



F 

■ 

1 

1 


The Mariner's 


Cetapafs RtthtUd 


^ 


m 








"— ■ — —'■ ■ — " 

A Sun-Dial for the Latitude of 9 Degrees. 


NORTH DECLINATI OJJ. 




2 d 

join 


5 'I 

li m 

\2 
0,01 

Q.o; 

j. 1 1 
0.16 
0.24 
J.38 
t-U 
J 46 

6.03 

d m 
S.03 


7 d 
30m 

12 
9.01 

3.03 

J.04 
J.c6 
J.09 
0.14 
7,19 
?,IS 

6.04 

d 01 
?-3S 


Deg. 

Min. 


10 <l 

h m 

IZ 

O.O) 

0.C2 

0.03 

0.0^ 

o.a>6 
0.1^ 
9. II 

6.ct 

d m 
10.7 


12 d 
3&m 

h m 

13 

□.06 
0. 10 
o.t4 

9.az 

0-3^) 
t.i 
7 

d IT 
"■59 


,sd 

12 

0.05 
?.IC 

17 
o.i; 

Q.3S 
1.04 

6.U 


17 d 

30m 

h m 
12 

0.07 
3.14 

□.74 
3.36 

^ 

[.36 

6.12 


20 d 

IZ 

3.09 
0.19 

J.31 
0.47 

^■'3 
2.15 


iid 

h ni 

12 
3 II 

0.2; 
O.3S 

M? 
2.55 


19111 


Point 


h m 


PoinC 


b u 


South 
5 by w 

a s w 

sw by E 

sw 


12 

o.n 
0.17 

0.26 
0.3K 
L-00 

d m 

8-3 3 


Ngrih 
n byw 
ji n w 
nwby B 
n w 


'*i 

O.ll 

9.26 

3.43 
.,05 

1.42 
3.42 

6.16 

d m 

13.50 


Bwby w 

W9 W 

'w by s 
Weft 


nwbyw 
w n w 

w by n 


1 








d lu 




fet 


let 


Sun's 


Sun's 
Ampi. 


i m 
15.11 


J ni 

I7-+3 


P 


l. SO 


UTH DECLINA1 


PIO 


N. 


r 

1 


Deg. 

Min. 
Point 

SoQlh 
s by w 
3 s w 

!w by f 

■ Sff 


3 d 

h m 
11 

0.15 

0.24 

0.00 
6.0c 


1 d 
^om 

h m 

12 

0.05 
0.15 
0.3c 

1.07 

3-" 

5-5S 


S * 

h IT 

12 
0.1 

0.21 
0,3; 
o,ss 
t.ij 


7 d 
30m 

h ID 

iz 

0.13 
0.27 

0.44 
I. OS 
1.36 
2.31 


10 d 

1 m 
11 

0.15 
0.31 
0,50 
I.IS 

S-i? 


f2d 

jortt 

h ID 

Iz 

0.17 

0.36 

1.16 

2.07 
3.21 


.5d 

h m 
12 

19 

0.40 

1 04 

1.36 

2.2^ 

3>5c 


.7d 
30m 

II 
0,zl 
0.44 
[.12 

1.4^ 

Z 4E 

4.21 

5.48 


tod 

h m 

12 
0.23 
a. 49 
..19 
'■59 

*S5 

;oc 

i.46 


zxd 

ti m 

II 
0.25 

0.52 
1.25 
£•09 

3-'4 

5.40 

i +s 


23 d 
2901 

h m 

12 
D.26 
o.;6 
1.31 
t.\6 

J. 23 

S-44 


1 

1 


(wbyw 

Ws w 

wby 5 

Weft 


(!) fee 


5.52 


;5o 


1 


L ^ J 



The Mariner*! Compaft ReSifted. 



A Sun-Di»l for the Latitude of lo Degrees. 




The MaritKTi C6mpM.fi ReUijied. 



35 



A Sun-Dial for the Latitude of ii Degrees 



NOftTH DECLINATION. 



Deg. 
Min. 



Point 



South 
sbyw 

S 9 W 

cwbys 
( w 



ws w 
w by 5 
Weft 



O fei 



Sun's 
Ampl, 



2 d 



h m 

.007 

'•34 



0.5 
J.J? 
2 19 



6.01 






d 



h m 



tz 

0.10 

0.50 

'-43 
+-'J 



6.04 



d m 
5.05 



7 d 
30m 

K m 



12 

o oi 
06 
00 J 

d.2( 

^■33 

1.01 



12 

O.DI 
001 
003 
Q 04 



5 06 



7.58 



to d 



h m 



NoMh 
Ji by w 

n n w 
nwhyn 

n w 



a.o& 
0.2 



608 



d HI 



Deg, 
Min. 



Point 



w n w 
wby r 



Ofet 



Sun'a 
Amp 



12 d 

h m 
oog 

O.OJ 

C.06 



0.15 
0.33 



6.10 



d m 
11-44 



iSd 



m 



I 2 

0.03 

07 

O.Il 

0.17 



0.J5 
0.41 
1,55 



6,12 



d It 



17 d 
30m 
ii tn 



12 

3.0; 
%ii 

0.18 
0.28 



0.42 

1.13 



6.14 



d m 
17,50 



20 d 



m 



12 

0.07 
0.16 

0.26 

0.39 



l-OP 



6 i( 



d m 

3-0.14 



22 d 



m 



12 

0.09 

a.io 

O.JI 

q^49 

I. IS 

2-33 



fi.iS 



d ID 



ifTa 
H m 

12 

0. II 

3.22 
o j;6 



1.28 



5.19 



d m 
'3'S9 



SOUTH DECLINATION. 



I Foint 
Norch 
a by w 
s s w 
sw by t 



BW by V 

W S Vf 

w by s 
W<ft 



o dii d 
30m 

tl m 



I tn 

12 

o.og 
o.ttJ 
0.15 

0-43 



'■39 

6.0. 
6,00 



12 

□.I I 

o,j6 

l.lS 
?.oi 
i.ji 



ir 



12 

0.13 

X26 

>.4S 
1.C3 



1.52 

2.21 

4.08 



7 c] 
ii rn 



11 

a.49 
I. II 



•■47 
5-S4 



lod 



H en 



12 

^■17 

0,34 

^■55 

I,2t 



4xd 

jam 
t m 

[2 

' 19 
0.39 

1.02 

1-3^ 



Z.OI 

^-3' 



2 17 
i-33 



y-50 



ISO 



K m 

12 
0.21 

3-43 
I 09 

i'4J 



^-33 
4.0D 



S-4« 



'7d 



I) m 



1 z 
□.23 

3.47 
(.16 

2.49 
4.3c 



S-4f 



?od 2sd 



12 

0.52 
1.24 
105 



3-07 



5 44 



h IP 



12 
P.27 
3.56 

1.30 

t.15 



3-23 
5.41 



i-4' 



23 d 



h m 



12 

1,35 
1.22 



3-3S 



S-41 



4 




44 



The Mariner's Ompafj Rg^ified. 



A Sun-Dial for the Latitude of 20 Degrees. 



NORTH DECLINATION. 



Min. 



Point 



South 
1 by w 

.w by . 
s w 

V tVf 

w by s 

Weft 




w by n 



fet 



Sun's 

Amp!, 



£ d 

h m 

12 

3.14 

0.4; 



d 



h m 

12 
O.IS 
0.25 

0.J9 
3.SS 



'■2J 

3-11 

5,04 



6.03 



i m 
2.40 



lov 



J III 



7 tl 
30m 



h in 
iz 

O.IC 
0.2 1 
O.J J 

0^5 
1.1c 



^.n 



d ni 
7-59 



10 d 



12 

0.17 
o 4c 



..S8 

4,04 



^.i5 



J m 



IZ d 15 d 
3am 



h m 



[2 

0.06 
0.13 

o.zo 
0,30 



0,44 
1.07 

1-5! 

5-i1 



6.18 



d III 

■J-'9 



h m 



IZ 

o 04 
o.og 
0.14 
J. 21 

0.30 
:>.+6 
1.2 t 

;.2 



5,Z2 

16.0 



17 d 
jom 

h m 
,12 
o 01 

O.Oj 
O-ll 

0.1s 

0.24 
J.4S 
2,gr 



i-r^ 



6^e 

J Hi 



Deg. 
Min. 

Point 



Norih 

oby w 

n n w 

iiw by n 
n w 



W n ft 



3 let 






zo d 

h m 



IS 
35 



tz 6 



iz 
0.02 
o 04 

0.06 

i3.23 



12 
J.03 
Q.06 

0, Iq 
16 



6 3^6.J3 






d in 

13. jg 



23 d 
39m 



3.24 
i.40 



^.36 



d m 



SOUTH DECLINATION. 




Tbe Mariner's Compafs ReSfiJted. 



45 



\ 



A Sun-Dial for the Latitude of 21 Degrees. 



^ 



NORTH DECLlNATiON. 



Dcg. 


I d 


S d 


7 d 


10 d 


izd 


iSd 


17 d 


10 d 


Deg. 


(2d 


Min 


gnm 


li in 
12 


h m 
11 


12 


h m 

12 


2i 


30m 

12 


ii m 
It 


Min, 


h m 


Poia: 


12 


foiri: 


SoLith 


Nonli 


r 2 


sby w 


O.M 


1.13 


3 11 


0,05 


g.07 


3,0s 


0.03 


0,01 


nbj'w 


O.Cl 


s s w 


Q.^': 


□.zO 


O.ll 


1 IS 


3.|< 


O.IO 


o.ob 


0.01 


n n IV 


0.02 


swby s 


3.48 


=■4' 


3.3S 


ag 


0-23 


0.16 


0.10 


0.03 


owybn 


003 


s w 


l.lo 

14-0 


1. 01 

i.iS 


3.52 


^4} 
1.03 


14 


n 


0.15 

21 


0.C4 

0.06 


n w 


06 


sw byw 


0.49 


0.36 


nwbyw 


w s w 


2^6 


2,09 


1 q? 


i.M 


! iq 


<",' 


0.^1 


0.10 


IV n w 
w by n 


■D.ll 


whys 


3' + ' 


3 18 


t.54 


1.29 


i.05 


'33 


I.OC 


0-20 


O.Z4 


Weft 


i 34 


5.07 


(.40 


4.11 


1-39 
J-55 


303 


1-19 

+-S3 


I.I4 

4,1! 






w by n 












Tec 


6,C4 
i m 


6.08 
d m 


6.12 

d in 


6.-6 

d ni 


d m 


6.74 


6.26 
d m 


d m 


lei 


6-3S 
1 tn 


Sun's 


Sun's 


Ampl. 


3.41 


521 


8.0? 


IM! 


13.(4 


i6,6 


18.47 


Bi.aj 


Amp 


n-^9 



(2 d 23 d 
r 2 >2^H 



12 

007 

3.11 



«.>7 
0,18 



15.18 



I 
I 



SOUTH DECLINATION. 


Deg. 

Min. 


t d 

h m 

JZ 
J.16 

3-34 
0-54 
1. 19 

-S3 

1,43 

4,04 

6.00 
6,0c 


z d 
jom 

h m 

12 

o.iS 
0.38 

I.DO 
1.2g 

3-0' 

4.17 


n m 

12 
o.zo 
0.42 
1.06 
"■37 
2.16 
3.18 
4 SO 


7 d 
?oni 

h Ri 

12 

0-4! 
1.12 
..46 

2.30 

3-3; 

5.4S 


lod 


izd 


ijd 
h m 

0,2fl 

1.32 

2.13 

J.JO 

4.32 


.7d 

30m 

li m 
I 2 

[-02 
..38 
Z.2 1 

!'S3 


zod 

h nt 

1 i 
0.32 
i.o6 

'•45 
*-33 

i-39 
5,17 


29 d 
h n 

12 
0.34 

LLC 

I. SI 
:.42 

3.52 

5.23 


2j d 

iTaT 

IS 

0.3 i 

1.12 
4.02 

5-32 


Point 


h Bi h in 


South 
sby w 
s s w - 

swbys 
5 w 


12 
^.24 
J.49 
1.19 
'•34 


L2 

0.26 
0,54 
I.2S 
Z.O4 


sw by w 

w s w 
w by s 
Weil 


^44 


2.56 
4-12 


fee 



riw Marinet'i Compa/s ReBified 



A Sun-Dia] for the Latitude of 14 Degrees. 




^r^ 


^^^^V Marimr^j Campa/t RiSifitd. ^^^^^K 


1 


AS 


un-Dial for the LatiEude of l^ Degrees. 1 


1 


NORTH DECLINATION. 


^ 


Deg 


£ a 


i d 


7 fl 


10 d 


lid 


'S'i 


.7d 


lodltz d 


Deg. 


^a 


r 


Min. 
Poijit 


li in 


b m 


30m 




jom 




30m 
h. 10 




Milt. 




1 
1 


h 


m| 


It m 


h. m 


h ni 


1 m 


1 tn 


PoLDt 




South 


12 




IZ 


12 


IZ 


12 


11 


li 


13 


North 


iz 






sby w 


o.i6 


o-M 


O.ll 


O.ti 


0.05 


0,07 


0.01 


o% 


Ol 


riby.w 


3,00 




h 


s s ws 


^■33 


o. 30 


0.26 


>.22 


ojH 


14 


o.ic 


O-OS 


0.02 


n ci w 


3 01 


1 


■ 


3W by i 


^53 


o,+7 


0.41 


0-34 


o.i« 


o,2z 


0.16 


O.OQ 


0..0}, 


nw byr 


0,01 


1 


1 


s w 


1.17 


'■37 


1. 00 


50 
'*>3 


O.DO 


0.31 


O.Z3 


13 

0,19 


Oi 

0.06 


n ■w 


D2 


' 


sw byw 


' 4^ 


J.47 


^■33 


nwhyv,- ^ Q^j 


■ 


w s w 


2-37 


Z.21 


1.04 


t.47 


1.29 


I.l 1 


o.i;t 


0.29 


O.IC 


W B W 


:<,a6 


W 


w bv s 


l-IJ 


V^o 


V08 


2.41; 


Z.£] 


'-1'! 


1.2C 


o.'i4 


0.2c 








1 


Writ 


5,j6 


s- 


11 


448 


4,23 


3-51 
I-57 


3-^3 
v5' 


Z.4.S 


z 04 


I.l 1 






1 

1 


MT by D 








6.21 


^03 


4** 9 


5-56 








fet 


5.04 


6.09 


6.1.1 


6. 


_^7 
m 


6si 


6.a6 
d m 


6.3. 
J m 


!5.36 
0- m 


''■39 
d m 


fel 


6.4i 
d m 


4 


Sun's 


di m 


d m 


d la 


r 


Sun's 


1 


Ampl. 


j,4i 


5.z6J8.io 


10.^ 


ij-3t 


i6.ao|'9.4 


»M^ 


14,1 


Amp.l25.4j 


. 


SOUTH DECLINATION. 


Deg. 


d 


1 d 


S d 


7 ^ 


lOd 


I2d 


l^d 


>7d 


zod 


izd 


z5<3 




Min. 


h m 


]Oin 

h m 


h m 


join 
b m 


h in 


30in 


]| Rl 


h m 


h m 


h ni 


li tn 


1 


Pout 


ta 


South 


12 


II 


12 


12 


IZ 


12 


12 


IZ 


12 


12 


|£ 


; 


■ 


s by w 


5. IB 


0.20- 


J.Z] 


0.34 


o.z6 


q.zS 


^^ig 


O.JI 


o,3J 


0.3; 


xj6 


) 


■ 


s ■ w 


0-37 


O.+J 


044 


o.4ti 


0.51 


0.56 


l.?0 


1.04 


l.oU 


\,ii 


l.tj 


' 


^ 


iivbj's 


5.S9 


1.04 


1.10 


1.1& 


1.33 


1.29 


'■3S 


1.42 


1-49 


f-;i 


' 55 


1 




1 w 


I. as 


1-3.4 


■'43 


1. 51 

2.37 


2.PI 
2.50 


3.03 


s.ig 

3. .6 


Z.tH 

3'i9 


2.3« 

3 44 


t 4t 

3*S^ 


t-;3 
4,06 




sw by w 


J.DI 


j.ij 




ws w 


^53 


J-IO 


J..6 


3.43 


40c 


4.17 


+-3C 


^■St' 


J. 17 










w by s 


+.12 


+•33 


4-S4 


,.!& 


^■jq 


















Weft 


6.00 
























1 


O i^^ 


6.O0 


SS6 


i-S" 


S'47 


!-43 


;-38 


5-34 


5 19 


;.J4 


;,2i!5,l8 


J 


i 


• 


■ 


■ 


■ 


■ 


^ 


J 


i 




Dcg. 

Mini. 


li m 

12 

3.38 
t-ol 

1,29 

.OS 
2.58 

& 00 
6.0c 


icm 

h m 
11 

:j.20 

1 0; 
'.37 
i.ty 

i-'4 
4.36 

5 76 


[1 m 
12 

3.22 
0.46 
1. 11 
.46 

3,30 

4,St 


7 -^ 
jom 

h HI 

11 
24 

1.19 

'S'l 

-4' 

■t-T 
^■47 


to li 

li m 

12 

1.40 

= ■53 

4.02 

S-39 
5-4^ 


12 d 

J Off! 

h m 

12 

0.28 
0.57 

1-3' 
^ il 

joi 

4 20 

S-37 


■id 

h m 

II 

0.S9 

■'37 

Z XI 

i-iS 

+•3* 


17 d 
30m 

h m 

12 

0.31 
i.os 
1 44 
2.31 

J 31 

+ S7 


20 d 

h in 
12 

1. 10 

I.JO 

4.40 
3.4& 

5-Z3 


22 d 


23 d 

29 m 


Point 


h m 

0.3s 

..5t 

2,4!! 

3.58 


h m 
12 

°-37 

z.oo 

2,55 
4.08 


Soutb 

s by w 

s s w 

sw by s 

11 w 


iW by w 

w a w 

w bv s 

Weft 


G fct 


5.19 


5.16 



p 


# 


■ 




T'iit MaritKTS Compafs ReMiJied. 49 


4 

1 

1 


A Sun-Dial for the Latitude of 45 Degrees 


NORTH DECLINATION. 


Deg. 
Min. 


d 

h m 

iz 

1.19 
□ .4,0 
1.03 

J OJ 

6.00 

'5 c-o 

d m 

0.00 


Z d 

h m 

iz 

'■'7 
0.36 

■'-S7 
1-2.1 
,.58 
J 47 
4.0 
J 38 

6.05 

J HI 
t.45 


Jem 
h m 


7 e 

h jn 


I'O c 
ii m 

IZ 

0. 13 

1.23 
I.OO 

4.31 


IZ c 

jom 

li m 

12 
- 10 
->.zi 

0.49 

I.IC 

' 1J 

4.06 
>-S9 


li m 

12 

G.rB 
I? 

027 
9,40 

a,a 

1.14 

J.+C 


-7«J 
jotn 

|] in 

12 

0.06 

5,13 

0.2) 
0.31 

■^•4f 
r.07 
1.4^ 


zo ^ 

h m 


Z2 d 

h m 


19111 

)i m 
- — . 
12 
3 01 
J.03 
3 O4 

OA 
0.10 

0.29 

1.84 

3.50 

6,10 

6.47 

d m 
16.8 


J'oint 


South 

sbyw 

s s W 

svv by s 

9 w 


i2 

C.16 
0-32 

1..; 
1.46 

d m 


12 

0.45 
1 06 

'■35 

J. 20 

454 


IZ 

Q.09 

0-21 

0,47 


12 
0.00 

0.05 
0.05 
0.1 J 

0.19 
0.29 

z.oo 


swby w 
W s w 
w by s 
f Well 


'wby n 

wn w 


61,19 
d m 


ill'' 

d m 
19 » 


4,4! 

6 39 

d m 

sa.iD 


4. J 4 
6.2s 

6.43 

d m 

14,14 


kt 

Sun's 
Amp I. 


3.16 


6.1^ 
it.3 


1.24 
13.49 


SOUTH DECLINATION- 


Min. 


li in 

12 

19. 

J. 40 
1,03 
[.33 


2 d 

3 cm 
ii m 

IZ 

] 21 

J. 09 

+■39 

5*55 


h m 

IZ 

3.47 
1,15 

14.9 

!!' 

S'5' 


7 ^ 
30m 

h m 

0,25 
a.5. 

I.3I 

1 44 

3-4-9 

5~ 


10 d 

h m 

12 
3.27 

t.z? 

1.06 
2,56 
4,05 


tid 
30m 

h m 

1 1 

0.J9 

2.15 

3.08 
4 22 


rjd 

h m 
12 

:1.3c 

1.02 

'■39 

3.21 

4'39 


I7d 

h m 

ii 

1.06 

],4& 
2,33 

3-31 
4.58 


io d 

bi m 

Iz 

■■.54 
J.(o 
I.;e 
i 43 

3.48 
i"9 


h Rl 

3,36 
i.14 
1.58 
2,50 

4.00 


29111 

h m 

11 

^■37 
(.17 

Z,OI 

*-57 
4.09 


■ 


; Point 


F 


"Nonh 
^ by w 

s s w 
sw by s 

s w 


sw by w 

w s w 

w by t 

Weft 


1,09 

1-19 
6.0: 


fee 


^.oc 


^■V 


^.i^>;i\ 


\%-^^\v^-i\. 1 


L 


J^B ^ 



^^ 


» ^ 


1 
! 


50 7be Mariner' 1 C^mpafs ReSftfiid. 


A Sun-Dia] for the Latitude of 26. Degrees, 


NORTH DECLINATION. 


J 1 


II 


Deg. 
Mm 


d 

b iR 

li 

0,2Q 

0+1 
lOi 

2.1 J 
jo; 

&,oo 

6,00 
d m 

Q.OO 


z d 

lotn 

12 

o,.59 

6 05 

d ni 
J. 46 


s J 

U m 

12 

0.16 
^■34 

1.50 

^■37 

3 45 
5.19 


7 d 
30m 

h in 

12 

0,14 

3.48 

r.ic 

1-39 

1.31 
3-35 

4-s; 


10 d 

K ID 

12 

o.at. 

0,42 

I.OI 

1.1; 

2. at 
3. at 

6.11 

6 20 

"i — 

11 S 


izd 

3oni 
!i m 
12 
0.1 J 
o.zi 
X36 
0.5 i 
1.15 
1.49 
2.46 

4-12 

6.00 
d in 


h m 

11 

09 
o.Iy 

3. JO 
043 

1.03 

>+7 

5~ 
d m 

16. 44 


17 d 

30ni 

K m 

]2 

□■.IS 
0.24 

0-50 

i-M 

..58 
3.J9 

S35 

d iTl 


13 d 

h m 
12 

O.OJ 

a. 11 

g.i; 

3'36 

0-55 
1. 31 

i 47 

4-4' 
6 42 

6.^ I 
■d m 

13 .l« 


22 6 

b ra 

■ 2 

■3.03 
0,07 
0,1 1 

0-17 

0.38 
1.07 

i.tb 

4,12 

5,2i 

6.4; 

d m 

14.17 


zjd 

29m 

h m 

IZ 

o.oz 
04 

007 

O.ll 

o.t6 
0.25 . 
0.45 

1,47 

4.00 
6.12 

6.49 
d m 


Point 


South 

s byw 

^ s w 

swby s 

s w 


sw byw 

ws w 
w by s 

Well 


w by n 


Q fei 


'>. 10 
d Id 
5-33 


6.^5 
d m 

ll.ZI 


Sun's 
Ampl. 


^^j 


SOUTH DECLINATION ^M 


Deg. 
Min. 


d 

h m 

12 
0.2c 
0.41 

J.Oj 

1 3S 


z d 

30111 
h m 
12 
a.22 
04s 
J.I J 
MJ 
Z.14 

4.41 


5 'I 

li ni 
ta 

0.49 
1,17 
1.51 

3.37 

SOC 

^ 5P 


30m 
h m 

11 

0.25 

0.5! 
123 

2-0 

2.47 
3.^2 

S »9 

J'4S 


10 li 




IJ C 


■ 7J 
30m 


80 c 

h ni 

ti 

a. 3; 
1.12 

' S4 
2.44 

S..8 
S-"9 


.•zd 
ij m 


2>3m 
b ID 


Point 


h Rl 


h HI 


South 

a by w 

S 9 w 

sw by s 

B W 


IZ 

a.56 

S.0& 

I.55I 

S39 
J, 40 


■ 2 

0'-29 
I 00 

'■35 
2'7 


12 

5.31 

1.04 
1.41 

2.26 


12 

0-33 
i.oS 
1.47 

3.36 
♦•S9 


12 

r.ij 

2 52 
4.01 


ti 

0.38 
1.18 

Z.59 

4'i| J 
f.ii 


swby w 
w s w 
w by s 

Weft 


z. t J 

4,-3; 

6 op 
6.00 


3 '1 

4.24 


4.41 


© fet 





^ 




■ 




The Mariner's Cempafs ReSlified. 51 


1 


A Sun-D'taj for the Latitude of 27 Degrees. 


1 

1 
1 


NORTH DECLINATION. 


Deg. 

Min. 


3 d 

k m 

12 
<3.2I 
a.43 
1-07 

z.i- 

+■25 

6.0c 
6.00 


2 d 


5 d 

li m 


7 d 
}oin 

li m 
12 
■5 r; 
0.3 J 
0.50 


10 A 

(1 m 
II 
0.13 
:.28 
1.45 
r.os 
t.32 
1. 11 

6,21 


izd 

30m 

h n 

IZ 

0.12 
0.2^ 

J.39 
0.5s 

1.20 

'•55 

1.53 

+''7 
6.ai 

■i-16 

d m 
14.03 


,Sd 

h m 
11 

3.1!.- 

O.ZO 
0.33 

M7 

1.08 

'■39 
^3' 

353 

^■39 

6.3. 

J m 
II}. S3 


17 t^ 
30m 

h ni 

12 

0.08 
3,17 
0.37 
0.38 

0'S5 

123 

107 

3-'7 
)■«' 

6-37 
d m 
19-43 


20 (j 

h m 

12 

3^o6 

0.12 

0.20 
C^ 

3.4; 
1.03 
1.42 
2.58 

4.51 

5.41 

6.43 

d rn 
a J ,54 


12 d 

h m 

12 

0.04 
0.09 
a.13 
J. 11 

0'.33 

0.47 
1.19 

2.3D 

4.28 

6.26 

6.48 

J m 
24.51 


^3^ 

h m 

11 
d 03 

0.06 
0.1c 

a, 15 

0,23 

2-34 

0-5& 
2.05 

4.09 

6.13 


Point 


Soiiih 
ihyw 

s s w 

sw by 3 
s w 


L2 
0.19 

0.39 
1.01 

I.JO 

6.0; 


Iz 
o.;t 

t.2l 


sw byw 
w 5 w 
w by s 
Weft 


i-SS 

Z.4I 

349 
>■■*' 

6. re 

d m 
,-■37 


1.4J 

2 z6 


w by a 


let 

Sun's 

Ampl. 


6.I5 6.21 

d tn d Jij 
«-25 1..14 


&'^l ■ 


3. 00 


■i m 
£.48 


d m 


1 


SOUTH DECLINATION. 


1 


Deg. 

Min. 


ft m 


2 d 

30m 


S d 


7 d 
30m 


10 d 

K m 
12 

■>.28 

3-57 
1. 1 1 


13d 

30111 

h 01 

12 

I.Dl 

■ .36 
2.19 


15 d 17 d 
30ni 


20 d 
h m 

12 

0,36 
'•'3 
'55 

^.46 

SIS 


22 d 

h ni 

12 

3.37 
..16 

Z.OI 

-54 


23 d 

21; HI 


Point 


h m 

o.aa 
0.46 

'•13 
1.46 

a. 28 
4'43 
^55 


h m 

12 

a.24 

0.50 
1.19 
i'S4 

^■39 
J. 40 
5,02 


h 01 

1; 
0.26 

1.25 

2 02 

2,50 


h m 
12 

0.3 a 

1.42 

2,28 


h m 
12 

0,34 
1.09 
1.48 
'•37 

4.S9 


I2^^H 

2.D^^H 


p 


SoulH 
s by w 
s s w 
swby s 

e w 


1? 
5.21 

..07 


w by w 1,17 
w s w 3.10 
whys ^.^^ 
Weft 6.00 


i.02 
4.10 

S-J9 


3-'3 
4.25 


3-it 

4.41 


4.10 


^ 


1 


© fet |6.oo 


M9 


S-l-^ 


l\»^\\S-'^Ti'\^-'^'\v^ J 


L 


M 




nbe Mariner' i Csmpajs Ri^ijid. 



A Sun-Dial for the Latitude of la Degrees. 



NORTH DECLINATION. 



s bv w 



M 



Poial 

South 
s by w 

5 S W 

swby 5 

£ W 

iw by w 
Ws w 
w by 5 

Wert 



h m 



h ni h m 



Lv by n 
w n w 



■■}Z 
0,2I 

44 

IC 

Z.20 

3 M 
4., 28 

't.o'- 



12 
o 20 

0.40 

1-04 

' _ 3i 

J. CO 

+.11 

C-Jl 



d<od 
h tfl K m 



12 
3.1S 

I 2S 



iti 

1,17 



12 
..14 

O.JC 

J.4: 
I 08 



'■50 
t .46 

3S5 
5.11 



1. 48 



i2d 

30in 



m 



LZ 

0,26 
!14i 

1.00 



,.3& 1.25 

44_0+;« 1 



O fct [6.00 6 05 

Sun's Id ni li m 



j-i 1 



.1 nj 



h.n 



6.\t 



a Z2 



d in it n. 



6.0 z 



6.t: 



A m 



^^"jl.lllu-ll 



SOUTH DECLINATION 





^ , 



54 The Mariner's Compnjs ReUijied. 




A Sun-DiaJ for the Latitude of 30 Degrees. 



NORTH DECLINATION. 



Deg. 

Mil). 



Point 



South 
a by w 
4 s Ws 
iwby ! 

9W 



wby w 
w by i 
Weft 



wbyn 
\v ti w 

B G 1'" 
Amp]. 



30m 



m 



h m 



12 

3.23 

1. 14 

1.46 
1. 27 

5.00 



12 

O.Zl 

0.+3 
1.08 
r.38 

3.C8 
+-17 

v43 



6.otJ6.o6 



mitl ID 



h m 



7 d 



h 



11^ 

0,1 9 
.-.40 
1.53 
» 3' 



12 
3.1 

0.35 

1.23 



2-55 
+.01 



6.12 



i.s( 

i. + . 

344 
5.0- 



10 d 



12 d 



h m h m 



z 
o.id 

'■33 
0.S2 

1.15 



'■45 
I 27 

3>»7 

6.21 



6.1S 



12 

a. 14 
0.25 
3.4& 



o.li 

0.2; 

Q.40 
0.58 



'-34 
2.13 

+ 3^ 



J.OJ 



d m 



J. 2, 6.29 



>sd 



1± 
0,10 

0.21 

034 

0.5c 



.1 

2.5J 
+£? 
5-4? 



6.j: 



17.S-5 



I7d 
3am 



m 



1.1 J 
1,42 

5.25 



ti.42 



d m 

30.1S 



jod 



22 d 

h m 



12 

0.41 



12 
o 07 
0.14 

0-33 



..58 
..15 
i.to 

J.24 



J.OJ 
6.41 



6.48 



O.4S 
(.1 t 
1.51 

J.OZ 



4-4S 

5.18 



5.;4 



d m 



15m 



h m 



X06 

0.19 
<i.27 



0,40 
0.59 

'•3S 

1.44 



4.25 



« 



6.58 



d m 



SOUTH DECLINATION. 



D*fi- 

^B^ s by w 



South 
s by w 

G S W 

sw by t 

s *w 



o A 
h m 

2 

3,47 
i.H 

r.46 



5W by w 
W s w 

w bys 
Well 



tet 



^- 



1.17 

3 2' 

^■33 
6.00 



£ <1 
lOITi 



!i m 



12 

■3.Zf 
3.50 

Ml, 

i.3S 
1-3- 
*-49 

i S4 



h m 



iz 

1.26 

3.54 
1.2; 

i.02 



3.43 

,-.05 



7 ^ 



m 



ti 
3.28 

'■sr 
1.30 

Z.IO 



4.02 

S.22 



10 d 



K' in 



12 
0.30 
1.01 
1.36 

2 iS 

3-<?9 
4,16 

S-39 

71? 



12 d 

30m 



m 



12 

I.OJ 

1.41 
i.zt 

].ZP 

4-3' 



■ Sd 

h m 
iz 

'■13 
].a9 
t.4& 
1-31 



3-32 

+•45 



?-»4 



17 d 
3oni 
h ci 



12 

0.35 

1.12 

■ S4 

'■43 



1-I4 

!,01 



S.18 



20 d 



12 

3-37 
1.16 

2.00 
2.50 



3.56 



22 d 



h m' 



12 

3.39 
1.19 

2. OR 

2.;^ 



4.06 



;.I3 ;.o6 ;.o) 



13 d 

19m 



m 



i 



la 

0.4Q 

1.22 

2.09 

4,14 



^^H \ 


Ttt MarinerU Compafi Re^jied. sS 




A Sun-Dialfor the Latitude of 31 Degrees. 




NOKTH DECLINATION. 




D«g- 


d 


2 d 


? ^ 


7 < 


itjd 


izd 


.,d 


i7d 


ZD d 


22d 


Md 




L 


Min. 


h fii 


li m 


h m 




h ta 




h m 


30m 

b m 


b m 


b m 


b m 




Point 




^v 


Souch 


12 


JZ 


II 


IZ 


12 


12 


12 


12 


12 


IZ 


12 






5 by w 


0.2; 


g,2z 


z: 


p. |S 


o.'i7 


^■'? 


0.13 


^. II 


0.09 


308 


0-07 




^B 


3 fi W 


0.4B 


0.4J 


0.41 


0-3^ 


0.34 


0.31 


CT.27 


0.23 


0.15 


0.16 


0.13 




^^H 
^^^H 


swbys 


1.16 


l.ti 


I..OJ 


J.OC 


^■S^ 


D.^S 


0.^3 


0.37 


3,31 


3.2 i 


a, 21 




^1 


s w 


2.3c 


1.41 

1.20 




I.Zt 

z.oc 


1.49 


I.IC 


1.02 
1.2? 


0.53 
1.16 


0.4J 


O.S4 


OJ2 
0.46 




sw byw 




^H 


wa w 


3.25 


5.12 


1.5^ 


2.41 


2^^ 


2,18 


z,03 


r.48 


1. 11 


i.t» 


1.07 




^H 


w by s 


4.3ti 


4.20 


4,0^ 


3.4^ 


..3. 


l'»5 


^•S7 


2.38 


2,l3 


z.Oo 


'.46 




H 


Weft 


6,0c 


s« 


S.2f 


;.05 


4.51 


♦■33 


*.M 


3.S3 


J-3' 


3.11 


2.;j 




nr by n 






^^ 










6.ZI 


■j,04 


i;.46 


^.2- 


^.07 


4.49 


+-J5 




L 


w n w 


















6.43 


£1,29 


b.m 




|k 


ofct 


6.0c 


6.06 


6,12 


6.1 B 


i5,z^ 


6.31 


6.17 


^-41 


6 c r 


6.^6 


7.01 




I 




d jn 


d m 






d in 


4 ni 


J m 






d m 


d m 




Sun's 


d n 


d m 


d in J w 




5 


Amp, 


o..ooja,55 


5.5^ 


8.4L 


ti.41 


i^^y^ 


17'M 


W.31 ii.ji 


asss 


^7-41 




SOUTH DECLINATION. 




Deg. 


d 


z d 


s ^ 


7 d 


10 d 


13d 


.;d 


17 d 


iod 


23 d 


2, d 




1 


M^n. 


it m 

12 


30m 

h m 

12 


\ Bl 

iz 


h ra 


I m 

IS 


30m 

1 m 


h m 

IZ 


jonn 

h in 

12 


12 


li m 
11 


2901 

b m 
12 




Point 




South 






s by w 


0*13 


0.25 


3.27 


o.aS 


3.30 


3.32 


0.34 


0.36 


0.38 


0.19 


0.40 






s s w 


0,4K 


O.JZ 


3.^S 


^■59 


1*02 


J .06 


( lo 


^•'3 


1,17 


1.20 


1,3^ 






sw by i 


1. 16 


1,21 


T.Z? 


1.32 


'.3* 


1.44 


•■49 


'-■Jl 


Z.Ol 


Jl.07 


t.ii 






aw 


1.49 
2.30 


1-57 
2.41 


Z.04 


Z.IZ 


1.20 

J.IZ 


Z.38 


1.36 
3-3+ 


2 45 
3-4S 


Z.53 
3-57 


3 01 

407 


3.06 
♦ »5 




sw byw 


z.Si 


J.Oi 






w s w. 


3'»S 


J-3« 


j-Sl 


^,q^ i 


^a 


f32 


4.46 


?.OI 












wby s 


4.3& 


1.(0 


vW 


;.zi 




















Weft 


6.00 
























■ ^ ^ ._ 










^^^.B 


^^^^ 












fet &.OC-I 


SH 


>+« 


v.4^ 


•3& 


1-29 


S'«1i 


(;,i6U.'«\^^'^NVvV* 


V 



D 



56 


3'be Mariner'i Compajs tie^ffifd- ' 


A Sun-DUI for 


tlfe Latitude of 32 Degrees. ' 




NORTH 


DECLINATTON. ' 



I 



Min. 



Poin( 



South 
s by w 

3 s w 

sw by s 

« w 



aw by w 
W S w 

w by J 

Weft 



why H 
w n w 



12 

0,24 
0.50 
i,iS 

11! 

J.34 

+ 38 

5 oc 






IP 



0,J,2 

1.13 

1,44 



Z.24 
3 '5 

44 



h ni 



12 

0,21 
0.4 J 
1.07 

'■37 



4.oti 



ti m 



o.iy 

1. 04 



10 d 



0.15 

0,36 
o.;6 

I.Z3 



1.S4 

^■37 

t-55 



6.2 1 



I3d 
30m 



m 



12 

0.16 
0.3- 
ost 
1-14 



'■43 

1,23 

J .o| 

+■37 



6 05 



IS 



m 



0,14 

0,4s 

1.05 



I.J2 

4.19 



5.4s 



<7d 



h m 
II 

3.25 
039 

I.ZI 

1.54 
5,30 



!0 d 



IZ 

3.10 
3.21 
9.33 



1. 09' 

'•39 
i 26 



S.ic 
6 43 



!id 



n li 



12 

3,1 6 

y^i 
0,59 
1.2: 

2,09 

3-ig 



4'53 
6.30 



»3 
h ID 



12 

3.07 



a« 



0,51 
1.15 

' ss 

1.04 



4 3S 
6,19 




F 




■ 




58 ^be Marmer^i Compafs Remjied. 


: 


A Sun-Dial for the Latitude of 34. Degrees. 


y 


NORTH DECLINATION. 


L Min. \\ 


i d 


s d 


J ^ 


7 -^ 


.Odl 12 d| 


.,-d 


17 d 


20 d 


23 d 


i,d 






^om 




(om 




jom 




jom 






zgm 






Point 


m 
1 2 


ii m 

12 




1 m 
■ z 


1 m 

13 


12 


1) m 
12 


li m 
12 


h m 

12 


[s h 

12 


h m 

IZ 




South 




s by w 


3.35 


J.24 


a.iJ 


£0 


o.tg 


0.17 


o.is 


^.t4 


0.12 


10 


:).09 






S 9W 


0.51 


a. 49 


0-4 1 


0.4! 


0-39 


0-3S 


O.Ji 


ct.t'i 


0,24 


o,:i 


o.iq 






iw by % 


1.31 


i.17 


1.11 


1.07 


1.01 


0.56 


O.jO 


041 


0.38 


0.^4 


J.30 






aw 




1.30 


r.42 
Z.21 


1-35 

Z.ll 


1.18 
3.01 


1.20 
t.51 


1.41 


1.04 
r.30 


1.19 


a.49 
i,&9 


0.44 




swby w 




w s w 


^34 


J-" 


i.io 


s.jH 


= 45 


= .33 


2. 19 


2.06 


1.51 


1.39 


1.29 






w by ! 


4 4' 


4.2il 


4.14 


J-59 


1'4S 


1.30 


3M 


2.^7 


2.4a 


2.24 


2.(2 






Weft 


6.00 


v45 


5.50 


S-'S 


E;.aa 

5.21 


4'43 
6.06 


4.26 
;,SC 


4.09 

5-34 


J-49 


i-33 
5.01 


+.49 




wby n 








Win w 


S.oo 


6.0J 


6.ii| 


6 20 


6.27 


(S.34 


(S.42 


6.49 


6.43 
6.;7 


b.j, 


6,zr 
7^ 




fct 




Sun's 


d ni 


(I m 


(1 III 


d m 


d iti 


d m 


d gnid iti 


•i ut 


J jn 


d m 






Amp!. 


0,00 


j.OI 


6.02 


9'OJ 


12.5 


l^S|■3,ll]lI,l6 


ft4.ii|i&-;a|t8.4j 




SOUTH DECLINATION 


■ 


■ 


Deg. 


d 


I d 


i d 


7 "J 


10 C 


1 2 d|i 5 d 


■ 7d 


IQ (J 


2Zd 


2j d 




^H Midi, 




(OID 








join 




(oin 






jgtn 




■ 


I roJni 


h Jii 
12 


h HI 

12 


1j m 

12 


h m 

!2 


1: 


h m 
12 


12 


12 


li m 


K m 
12. 


h m 
12 




^ 


1 South 


1 sby w 


0'.?5 


0,27 


3.25 


O.Jt 


o.V 


0.34 


0.31 


a-37 


3-39 


0.4] 


0.42 






saw 


3.S3 


o-IS 


o.;5 


t.OS 


t.oe 


I.oy 


«-'3 


1.1& 


f,20 


1-Z3 


1.2b 




1 


sw by s 


I.Z2 


i-j; 


1.3J 


1-3^ 


'■43 


l,4« 


r.54|z 00 


Z.OJ 


2.10 


2.14 




N 


1 •* 




3-45 


i.i 1 


1.15 

' 3-0'. 


i.zC 


^■34 


2.42 


2.5c 
3 SO 


2.?7 


Vo; 


3,10 




iW by W 


5.1E 


3.28 


4. CI 


4.IC 


4.]S 


r 


W 5 w 


.V3H 


h V4t 


J'^* 


t 4.1c 


> 4. 13 


4'35 


4.4H 


;o» 










1 


w bv a 


4.4! 


= 4S« 


• S-ic 


>S-2< 


\ 
















■ 


Weft 


b.ot 


•1 






















/ fet '}6.cc}<;.^^ 


S.+( 


'S-4« 


^5-1. 


;,2fi 


SiS 


> " 


S.03IS.57 


4-S« 


J 


M 


i 


1 



T^i Marituf's Campajs ReSifitd. 




59 



A SuD'Diai for ihe Latitude of jg Degrees. 



NORTH DECLINATION. 




6o The Mariner's Compafs ReSiified. 



1 



A Sun-Dral for the Latitude ot 36 Degrees. 
NORTH DECLINATION. 




The Mariner's Compafs RtBified. 



A Sun-Diai for the Latitude of 37 Degj-ees. 




L 


1 


■ 


62 The Mariner's Cempafs Reiiified. 

* ' ' ~ ' " ' ■ — — ■ ■ ■ - ■ - 


1 


1 


A Sun-Dial for the Latitude of 38 Degrres. 




w 


NORTH DECLINATION. 


Deg. 

Mm, 


f:> A 
h in 

■>'S7 
(.15 

+■48 

6-00 

l1 m 

-3 0C> 


2 d 


S d 


7 ■! 


to d 


Ijd 
jom 

h m 



IZ 

5.20 
i.o; 
1. 06 

E,JO 
1.46 

tS4 

d m 
IS- 56 


15 a 

h m 
1 1 

0,18 

■5.38 
1. 00 
1^5 

t-57 
'•39 
3 33 
4,41 

5.4*; 

i iTi 
ig'ii 


17 <3 

IZ 

0.17 
^■34 
3-S4 
1.L8 

''47 

2.26 

3.8 
4 '5 
5-41 

d ID 

IS. 16 


to d 

Iz 

0.15 
0.31 
5.49 

l.IO 

1-37 
S.13 

303 
4,09 

6,4s 

d m 

=5'41 


izi 


.3d 

29*^ 


^H P°'>"^ 


h m 

12 

0.5 ^ 

i.oo 

1-31 
,.36 

r47 


h m 

12 

051 

|.2(^ 

•■53 

^■33 
i S3 
+.34 

S-34 


h m h m 


h m 


n 


P 

F 

L 


South 

s by w 

i s w 


12 
0.23 
0,48 
1.15 

1,46 

-•U 

1 12 
4,11 
5-21 

6.24 

d m 
93' 


IZ 

'.11 

IK 

'•39 
2.1; 

3.D1 
4.00 
5.08 

i m 
't.43 


12 

13 
0. 2S 
i.44 

I.O, 

1.29 
2.03 
;.;o 
3 15 
J..4 
^34 

7^4 

d ra 


■ 2 

o.n 

0,2( 

^.41 

f.!5 


i 


sw hyw 
W s vv 
w b)- » 

Wea 
w by n 
* n IV 


' S4 
2.40 

3 4? 

;.04 

6,z6 

7.19 
d in 
30-a4 




6.(8 

d m 
3,1^ 


6, [6 

.1 m 
6=1 


let 


Sub's 
Alhpl. 


SOUTH DECLINATION, 


J 


Min. 


D d 
h m 

12 

0.28 

°S7 
t.29 
s 06 

3-44 

(f.OO 

4.C0 


t a 
jom 

h m 

12 

1 oc 

1.34 

3 "3 

J. 59 
!-S3 


^^ m 
12 

3.31 
1.04 

1.39 

1.20 
3.0S 

5U 
5-4-4 


7 ^ 
pm 

h in 

12 

3-33 

"■44 

a.s; 

} '7 
+ '7 

,-.,6 


10 (1 

h m 

12 

=>-34 
1.1c 

1 49 
134 
3.ai 

+.28 

;.28 


isd 
30m 
h m 

■ z 

0,36 
i-'J 

r S4 

3 3S 

♦ 39 


.;d 
h m 

12 

a. jS 
1.16 

1.59 

J-41 

4JQ 


.?d 

3^ni 

h m 

11 

3-39 
1.20 

2,5s 
3'S1 

S,02 

S-03 


20 d 

h m 

11 
0.4 1 

I.Z4 
1, 10 

1-03 

4.04 
+-S4 


zxd 

h m 

11 

0.42 

2.15 

4.1a 


23 J 

h m 

12 
0.44 
1. 15 
:.ig 
3.14 
4. It? 

1 


^ 

1 


Point 

Souih 

s by w 

s s vv 

iw by s 

s W 


sw by w 
w s w 

w by s 
Well 


fct 


,,46 


4-41 


J 


1 




1 



^^" 




■^^ 


k 


Thi Maritisrs Compafs RsQified, 63 


A Sun-Dial for the Latitude of 39 Degrees 


NORTH D F. C L 1 N A T i N. 


I 


Deg, 

Min. 


3 d 

I m 
12 

0.15 
0.58 

13' 

1.09 

2, S3 
34? 

0.00 


£ d 


3,0111 


jam 
1 m 

IZ 

0.24 
0/49 
1.17 
149 
z 27 
3'S 
4-'4 

S,23 


10 d 
h m 

IZ 

3.]] 
46 
I.i: 
'■4= 
2.19 

4.02 

6.23 


i2d 

1 m 

12 

0.43 

1,07 

t-3i 

2,1C 

2,S4 
3'49 

6.10 

6,41 

d m 
16.10 




:7d 
1 m 


Il5 li 

1 m 

12 

3. 16 
a.32 
0.^1 
1.13 
1.41 
2.13 

4.13 

645 

7.09 
A in 


iz d 23 d 

1 nt h m 

12 12 
3.14 0.13 

3.-70.43 ' 

i.o7],r-2 ; 
1.33 J. 27 

2.q8 2 OO 

1.56 J.+7 , 

J-165.07 

7.167,!! 

d m li m 
18,4^ 39,51 


ToiaL 


I tn 
It 

0.27 

2.02 

MS 

V38 

5 4^ 

6.08 

d m 
3-"3 


1 m 
II 

0.2S 
t.IS 

'Si 

2.36 

3.26 
4.36 

v35 

6.16 
6.26 


South 

s by w 

1 ■ w 

swbyi 

a w 


IZ 

0.19 
0-3& 

t.zii 


IZ 

>.17 
3-36 

1-57 

1. 21 


awbyw 
ws w 
w by 3 
Weft 


2.01 

)3& 
4 43 

i-37 

6,sc 


1.51 

+.28 
S-41 


wby n 
w n w 


6.00 

J ni 
0.00 


f«t 


5 34 

i Ol 


6,31 


Sign's 
Amp], 


d 11, 
i9,£E 


d m 
iz.4S 


"SOUTH DECLINATION. 


\ 


Deg. 
Min. 


h. m 

1z 

0.2CJ 

1,31 
2.0^ 


30m 

h m 

U 
O.JC 


h m 

IZ 

1.05 
1.41 

2.23 


7 ^ 
3011: 

h m 


10 (J 


IZ d 

3Sni 

K n 
ti 

Z.45 
4 3S 


.5d 
K m 

|Z 

1 If 

i.o 

) J.4< 

)+-5 


17 d 

li til 
1 2 
i.4- 
l.l 
2.01! 
)2.S- 

'3-; 

J.O 


zo c 

li m 
\t 
1.41 

1 t.i I 

3.0, 

■4.O; 
i 


iZ c 

h m 

12 

i.ij 
z.it 

3-1 = 


Z5d 

zgm 

h m 
11 

^■44 
1.30 

'lii 


Puint 


Nojth 
s by w 

S s w 

sw bys 
3 w 


tz 

1.46 
3.Z5 


12 

5-3 S 
l.ti 

4,15 


sw by w 
w 3 w 

w by s 
Weft 


3-47 
6.ot 


i.ic 


3-J5 


fet 


6,0c 


= i'S*IS'44!s-3i 


S,ail4 5 


m 


r^ '3 



^ 






• 
















\ 


■■ 








* ■ 


. 64 ?>? Manner's Compafi ReEIified. 


J 




" A Sun-Dial for the Latitude of 40 Degrees. ■ 


NORTH DECLINATION. 


1 


Min, 

Point 

South 
» by w 

s s w 

IW by » 

t w 


4 
ti m 

I.Ot 

'■33 
1.1 1 

1.56 

J 49 
15! 

).0 

B.oo 

d m 

oc- 


1 A 
1 m 

IZ 

f.04 
J-39 

d m 
3 '5 


S d 

12 

Q.id 

053 
1.58 

J.19 

+ 2^ 

j.i; 

d m 
6.32 


7 d 
J cm 

ti m 

C.5C 
.1.19 

'ill 

.J4S 


10 d 
h m 

12 
1.23 

1 H 
'■45 

1.22 
3,08 

4'OS 
13 6 


12d 

tain 

li m 

■ 2 

321 

I.OI^ 

1.38 

2. 14 
£.58 

3-53 
4 59 
6.1J 

5, +3 

J in 
i6.t4 


.;d 
li m 

0.3C 

:j.4I 
1. 04 
.31 

Z.D4 

3 4t 
44c. 

! 5' 

ll IIL 

■MS 


= 7d 
jom 

h m 

Ji 

o.iS 

3.37 
3.59 
1.24 

> S5 

^■35 
3''7 
1 3' 


:o (1 

h HI 
12 
0.17 
0.34 
0.54 
1.17 

Z.23 

3».' 
4--7 


22 d 

h m 

12 

15 

0,31 

^■+9 
i.ii 

1:38 
J, 13 

j.02 
401 

5.19 

6,36 


23 '^ 
2911^ 

h m 

12 
a. I k 

0,20 

i.oq 


] 




tw by w 
W s w 

W b<r S 

WcR 
w by n 
»v n w 


1.31 

2.51 
3 S5 

6.2S 






J.OJ 

li ni 

11, .at 


5-35 
5,46 

d m 




Q fct 


7. 1 J 

d m 


7-'S 
d m 

y.1% 


Sun's 
AmpU 




SOUTH DECLINATION. 


I 




. Min. 


h in 

[Z 

0.29 
loa 

'■33 
2 1 1 

■■5' 
^■^' 


I 

ii m 

12 
0.3 ! 
1 

1.38 

-■': 

3-59 


1] T\\ 

1 2 

i.of 

1.43 


7 
jom 

li HI 

12 
0.3 + 

I.O> 

I 4- 

% ?i 

3 2' 

1 Jg 

5.zt 
i->5 


10 il 
h in 

I.I ^ 
' > = 

3 ''. 

+,30 


]2d 

30in 

Ik m 

1 : 
y 

' 5; 

J 44 

>-3- 

4 4r 

i-'7 


15 d 

h ID 

12 

3ii 

i.lS 

1-51 

1-47 
4 J' 


17 d 

30m 

ti m 

12 

?4cv 
1.22 
2.07 

3 Sf' 


20 d 

h m 
u 

2. ■ ; 

3'°5 
+.c6 


22 d 

h m 

_12 
0,4} 

1.28 

-17 
111 

4r'4 


23 d 

2910 

J2 

o.U 

J JO 
2-20 

- 


i 




Foin: 

s by w 
i s W 
! sw by s 
1 5 w 




laA' by w 
1 * s w 
i iv by 5 


ta 


1 fet 


6.C0 


5S' 


S-ol 


4-5y 


S'4y 


4.41 


4-3( 


n 


1 




J 




The Mariners Cfiitipafs Re^iffd, 



6S 



A Sun-Dial for the Latitude of 41 Degreea 



NORTH DECLINATION. 



Deg. 
Min. 



PoinE 



South 
s'tiy w 
tew 

s w 



jwbyw 
w 5 w 
w by i 
Weft 



Wbyn 



© fc( 



Sun's 
Ampl, 



in 



12 

1.0 

''35 

2.13 



2,58 
3 P 

■6.00 



600 



d m 
O.oc 



H m 



12 

0,38 

1. 3D 

1,07 



zsc 
148 



6.05 



d m 

^i8 



30m 
h m 



0.27 
0.55 

1. 00 



2.42 
3 3' 

f-3S 



6,1- 



6.J8 



7 d 

30m 



ti m 



J2 

121 
IJ54 



2-33 
419 



5.i6 



d m 

9S7 



10 d 



m 



13 

ai.34 
049 
1,1 5 



I.2( 
J.l] 

S'>3 



5..3 



t: d 15 d 
h in b m 



12 

0'.46 
I. II 
■4' 
Z.17 

Ol 

3-57 
5.01 



6 3S 



13. iS 



5.1; 



44 



d m 

16.4a, 



0.21 

0.4J 

1,06 

'•34 

14+: 
4,4s 



5' 59 



6^ 

d m 
10.1 



r? d 

b ID 



t2 
0.19 

0-39 
1.01 

1.4; 



'59 

Z.39 

13' 
4-3^ 



^46 
6.58 



so d 



h m 



12 

3. J 7 
0.36 
0.56 
1.20 



2.2 
J. IS 

4-4 



J.33 
6-46 



'■'34 7 '4 



d m 



d .IP 
26.56 



12 d 



12 

O.lt 

0.33 
Q.52 
III 



1.42 

1.18 

1-0? 

4.09 






7-22 



'4^5' 



J3 d 

i^in 

h ax 

iz 
0-15 

0,31 
o.4« 
r.og 



■36 
I. n 

400 



&319 



7'3| 

m 
31-54 



SOUTH DECLINATION. 



Min. 



PoinT 

North 
s by w 

g s w 

5W by 9 

s w 



EW by w 

w s w 

w by a 

Weft 



fet 



m 



12 
O 31: 
1. 01 

'•35 
3-13 



2.5^ 

4-53 
5.00 



6-00 



I d 
30111 

h m 



12 
0.31 

'■39 
il9 

■+.0I 

5-04 



(1 m 



12 

0'33 
1.07 

'•44 
2,26 



3-14 
4.11 

S JS 



7 d 

jom 

h in 

12 

0-34 
1. 10 

'■49 
1^ 

3.22 

4 21 

S26 



lod 
h m 



12 
X36 

1-13 
1,5- 

=-3<. 



3 3' 

43t> 



izd 
30m 



■ « 

"*37 
1.16 
1,58 

i'45 



1 39 

4 4' 



d 



'h in 



11 

■a-3? 
1 19 
2.03 

2,^1 



3.48 
4,51 



5-Si 5-43 5-34 i-as 5 '^ vo^\v^ti\.», a*\v^^\vV 



i7d 
50m 



12 

3'l4C 

1.23 

2. 08 

M9 

3-57 

5,03 



!0 d 



m 



12 

5.4» 
1.2& 

*''3 
3 06 



4.06 



22 d 



m 



13 

0'41 
1.29- 
z.iS 
3-'2 



4.14 



23 c^ 
29m 



h m. 



12 

0.4s 
1.31 
1. 21 

1'7 



4.10 



m 


■ 


^ "^^^ 


I 


J 




2'i&« Mariner^ Compajs ReSiified, 1 


■ 


L 


66 


1 


P 




A Sun-Di4l for the Laritudc of 42 Degrees, T 


1 


- 


NORTH DECLINATION. J 


J 


Min. 1 


i d 


z d 


! d 


7 d 


lod 


I2d 


Md 


C7d 


20 d 


iZ d tj ^ 


p 


^B D«K< 




iota 




jom 




30m 




jom 






29m 




^Pt Point 


h m 


[1 m 


h tn 


1 m 


h tn 


h m 


1 m 


1 m 


h m 


m b 


li m 




^Kl South 


12 


12 


IE 


12 


12 


iz 


]2 


12 


13 


12 


iz 




^Hl s bv w 


O.JC 


0.29 


0.27 


0.26 


0.24 


0.23 


0.21 


0.20 


o.tS 


a. 17 


a. 16 




^■1 SSVf 


(,OI 


0.59 


o-;6 


o-i3 


O.JD 


047 


0-41 


04. 


a.j7 


0-34 


O.JZ 




^H tw by £ 


l,J& 


'.32 


1.37 


t-23 


x.i'b 


K13 


l.Ot. 


1.04 


0.5a 


3.S4 


3 51 




^1 


LIS 


2.09 


2.03 


1,56 


'rS-^ 


1.44 


"■37 


1.30 


1.23 


1.17 


i-'3 




^V iwbyw 


i-Oc 


2,52 


2.44 


^.J6 


z.2^ 


:,zo 


2.13 


2-03 


1.54 


(.46 


[.40 1 


^^ w s w 


i-S3 


i+3 


5'34 


J.24 


t-«5 


3.0^ 


2.54 


2.44 


2 23 


2.23 


Z.16 1 


w by B 


4 SI 


+ +3 


4.32 


t.2l 


4.10 


4.0c 


J-4« 


h-}>^ 


}■!; 


J. 12 


103 


Weft 


a.of 


it9 


)-37 


i.26 


i <S 


^03 


4.51 


4.3., 


fa4 


4->5 


4.04 


^^ wbv n 










6.33 


6.17 


6.ot 


^■am 


^■35 


5.34 


i.i6 


1 


^H w n w 
















Ci.5« 


&.47 


b.37 


b,36 


1 


1 J ©let 


J. or 


^.09 


6,18 


6.2; 


6.3^ 


6.46 


6.56 


7-0^ 


/■'7 


7,2s 


?-3i 


■ 


filing 


d ni 


d m 


d m 


d Bj 


■i IT. 


d m 


d m d m 


d m 


d in 


d m 


1 
1 


' 


Ampl. 


a.oc 


5-21 


644 


lO.f) 


'3.31 


16. 5G 


10.13 13.51 


'?-»4 


20'i6 


ii.a8 


1 




SOUTH DECLINATION 




Deg. to i 


s d 


.- d 


7 djiot 


i2d 


.,d 


I7d 


20 d 


zz d 


23 d 


1 Mini . 


(om 




30111 




30II1 




loin 




1 


Z9in 


1 


^H Poiui h m 


h. tn 


h m 


h. in 


ii tn 


h. cr 


h m 


ti m 


h m 


b tn 


li m 




^H 




















-^^^f-* 


1 


^H ::>Datti [ I 


t2 


11 


Iz 


12 


t£ 


IZ 


12 


IZ 


■ 3 


iz 




^^1 sbyw o. ^r 


0.J2 


0.31 


0-3 S 


..J6 


3.38 


0.35 


a.4i 


0.43 


0.4.4 


045 




^H sSW t.Ol 


1 0, 


I.Oi 


Ml 


1.14 


1.17 


UZd 


1.23 


1.2? 


1,30 


1,3* 




^B 5w by j 1.)^ 


1.4. 


,.4( 


i.^C 


"-^^ 


'■S9 


2.04 


2.09 


2.14 


I.I3 


2.Z2 


1 


y. 


8 VU 




2.11 

'..Of 




i-H 


\ i Af- 


1-46 
34c 


2,53 

3-49 


3.00 
3 57 


4,0; 


3.13 
4.14 


3-17 


1 


;w by w 


)-2^ 


i-33 


.4.20^ 


■ 


WSW Ij.; 


4..OJ 


+.1: 


4.2; 


43 


4+' 


4.JJ 








a 


P 

■ 


w bv s 


\'i' 


vD 


^f^ 


^2< 


t ' 












^^ 




Wert 


6,ot 


3 




















ib^ 


© /et 


I.OC 


'J'S 


v4 = 


;-3 


1?'33 


J.I4J5.04 


+-i4 


4-43 


4-3S 


4.38 


1 


i 


■■■^■^■^^^H 


■ 


ri 



F 




~ 


1 




5"Ab Mariner'^ Compafs Redified. 67 


'm 


A Sun-Dial for the Latitude of 43 De^rets 


i 
1 


k 


NORTH DECLINATION. 


r 


Deg. 

Mill. 

Point 


d 
h iTi 

13 

0,31 
1.03 
1.38 

;.D2 
6.0c 

5.0c 
d ID 

3. 00 




7 = 

ll ID 

12 

0.37 
0.54 
i.iS 

» S9 
1-39 

423 

J 111 
(0.17 


hoc 
b in 

12 

0.25 

(.20 

^3' 

J.. a 

4''3 

;.i6 

6.Z3 

6.38 


i2d 

join 

h m 

12 

T.4£ 
1,15 

'■47 

2.13 
3.0S 
4-<=3 
i'OS 
6.13 

6.48 


IJ c 

h in 

22 

0.Z2 

-.45 

1.14 

i 40 
z 15 

J 5* 
453 

6.01 

&.5S 

J m 
ID, 45 


L7 c 

3011) 

h re 

12 

0.42 
j.o6 

1,33 

1.07 

z.|8 

3-4<^ 
4 41 


zod 

h m 

12 

0.19 

J. 01 
1.26 

..5S 

*-37 
4.27 


22 c 

Iz 

10 
:,36 
3.S7 

1.2D 


23 d 

b m 

|] 

0,,?' 

i.l6 




0,29 
1.00 

1.34 

= 55 

4-45 

!49 

6.oy 

J. m 
1,35 


12 

0.38 

0-S7 
1.39 

1.05 

^■4/ 
4-34 

i-3S 

li til 
6-^1 


1 


South 

s by w 

saw 

5Wb)f s 

s w 


1 


sw byw 
w s w 

wb/s 
Weft 


l.jO 1 44 
2.ZS 2,21: 

3.17 3.09 

4' J 7 4-09 

S-27S-'9 
6.3S6.31 

7.287.36 

J m d nj 

39.48lj3,03 


1 


W by n 
w n w 


6.5 a 

d m 


6.47 

7-'9 
i m 


H 


fee 


1 


Sun's 
Ampl. 


d m d m 
11-44 17.11 


SOUTH DECLINATION. 


Deg. 
Min. 


d 

ik m 

.12 
0.31 
1-05 

J.02 

J-S5 
4.55 

6.03 

6,o& 


30111 

li HI 
12 

0,J2 
1.06 
1.42 

3.10 
+.04 

5.05 


S d 

H m 

IZ 

0.34 
1.47 

3.J& 
+ 14 
y 16 

5.41 


7 4 
h 01 

IZ 

0,55 
I.IJ 

2.36 

4.13 

J.26 


10 d 
h It) 

'■37 

1.56 

j. + i 

i-33 
4.3: 

j.aa 


I2d 

h ID 
38 

1.18 
2.01 


,jd 
h m 

[2 
0.40 

l.It 
Z.05 

2.154 


i:d 

h m 

12 
0.41 

].i4 

2.JC 
3.5R 


20 d 

h m 

12 

0.43 

2.>5 

3.08 
4.07 


iz d 
a ir, 

12 
0.44 
1 J 
2.19 

3_M- 
1-11 


23 d 
29m 

h ID 

12 

l.,2 

Z.23 

:.,i8 
4,20 


Point 




South 
s by w 
a 5 w 
sw by 5 

S IV 




Hf by w 

w s w 

whys 

Weft 


3.41 
4'4i 

5^ 


3*?' 

4,52 


ta 


let 


\VV\\ ■'Ak''-'^^ 


I 


1 


K ^^Hi^^^K 


d 



^r 


1 


■ 




6S 


9-bt ^Aritt^r'i (2am-r)/xtt RriliUpd 


1 


■ 






1 


^ 


A Sun-Dial for the Latitude of 44 Degrees 






NORTH DECLINATION. 


H 


Min. ^ 


i d 


s d 


! d 


7 A 


10 d 


t2d 


'H 


i7d 


JO d 


12d 


Md 


^1 


Peg. ( 


m 


1 Rl 


1 m 


1 m 

[2 


I m 
iz 


Il m 

13 


1 m 
12 


I m 
II 


h m 

12 


m h 
12 


h m 

12 




^m 


Point 


^m 


Souih 


13 


IZ 


12 


^M 


sbyvf 


^■3' 


3.30 


0.Z9 


0.27 


ij.26 


0.14 


0,23 


0.21 


0.3O 


0,18 


0,17 




^1 


S S w 


1.04 


I.OI 


o.si; 


0.56 


0-S3 


050 


0.0 


044 


0,40 


0.18 


o.:{6 




f 


»w by s 


1.4c 


'•35 


'•3» 


1.27 


i.2J 


I.i8 


'■'3 


[.ca 


I.Oj 


3.^9 


XS6 




^ 


8 V 


2.19 


a.i3 


2.07 


2.01 


'•SS 


"■45 


1.43 


1.3b 


1.29 


1.24 


1.20 




^ft 


Mwhyw 


3.04 


2-S7 


2.49 


2.4a 


a.34 


2,26 


3.18 


2.10 


2.01 


1.^4- 


1-49 




^m 


W s w 


i-S7 


3.4S 


1-3^ 


J.29 


J. 21 


l.ja 


3.0! 


2-5^ 


2,41 


2.1, 


a.-^C 




^m 


,w by 3 


4S( 


44* 


+.56 


\.2ti 


4.16 


4.0^ 


3-54 343 


VI ' 


5-" 


(M 




H 


Weft 


O.oe 


J.JO 


J-19 


S-sy 


^18 


?-0/ 


4.56 


+•44 


4-3> 


4.2£ 


+.13 




^P 


why 11 










^.23 


6. f J 


6,Qi 


S-S' 


?'39 


;,29 


^.21 




^^^K 


)vn w 
















&.;9 


6.4a 


0.39 


6,32 




B 


' ftt 


6'. or 
d ivi 


6-10 


6.19 
A in 


6. j; 

d jn 


6.39 
d"~ii; 


6.4(y 

d 111 


7.CC 


72X] 


7.21 
d m 


7-31 
d m 


7-39 
d itt 




H 


tun's 


<i ni 


A ni 


H 


Ampl. 


0,0c 3,2? 


o>58 30,17 


'V5* 


ly.SoJzi-S 


14,44 


(S.»5 


y-ti 


Yi>Vi 




^ 


SOUTH DECLINATION 


^ 


■ Deg. [o d 


2 d 


$ <3 


7 d 


IO(i 


izd 


i^d 


17*3 


^od 


xzi. 


23 d 


^V 


Mim. 


El m 

IZ 


h m 
1? 


h m 


30m 
12 


h m 




b m 
12 


}om 






29111 




H 


Point 


h m 
12 


]i m 
12 


h m 
12 


h in 


^1 


^Outh 


12 


12 


^1 


t by w 


^-3" 


0.33 


0.3- 


o.3f 


'^■37 


^-39 


9.40 


0,42 


0.43 


0.4s 


0.46 




^1 


fi 5 w 


I.OH 


j-o; 


l.U 


J l.li 


lie 


I.IC. 


K31 


r.as 


1.28 


•■3' 


1,33 




^p 


svj by s 


l.^c 


J.4'1 


i.4f 


f'5- 


i-Tj 


2.01 


z.ot 


2.11 


(.16 


1.20 2.13 




^^ 


» w 


*.I5 

3 ■Oh 


2.25 


2.J1 

3-n 




i-43 


J-42 


1.56 
V5I 


3,02 
3S9 


3.0; 
4.08 


J "4 1*9 




1 


iw by w 


4.15 


4.20 


^H 


W 8 W 


s-r 


4..of 


4.H 


4.a. 


4-11 


+ 4J 


4<;2 












^1 


w by s 


4-':^ 


)^.o; 


<:.ie 


i^.af 


) 
















^1 


w«ft 


6.o< 


J 




















^t« 


j ^0 fe 


b.o( 


'5-!' 


i,ra. 


f f-3 


5 -21 


5" 


500 


449 


+■38 


4.*9 


4.21 


J 


1 


^ 




■ ■ ■ 


' 


^H 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


■ 


i 



IP 


^^H 


^ 


^ 


^ 


^ 


^ 


^ 


^ 


^^^ 


^ 




■ 










1 


^ — ■< 
TA? Maruter'i Compafs ReSiified. 69 


1 
1 

■ 


A Sun-Dia] for the Ladtude of 45 Dcgrees- 


NORTH DECLINATION. 


Deg. h d 


J d 


? d 


7 dfi6d 


I7d 


iSd 


i>d 


20 d 


22 d 


23 d 


! 
L 


Mia. 


h m 

]2 


jom 

12 


h in 
iz 


JODl 

12 


h m 


30111 
h tn 


h ip 

ZI 


JOUl 
tz 


h m 

12 


12 


2910 

h Ri 
12, ^ 


Point 


Soudi 


11 


It 


■ 


sby w 


0.^2 


0.11 


9.29 


0.38 


a.zt 


0.2s 


O.Zif 


0.11 


O.ZO 


J. 19 


0.1 t^l 


■ 


£ £ w 


I. OS 


t.OJ 


1. 00 


0,1^7 


'54 


0.51 


1348 


0.45 


C.,2 


^■35 


'■^-iii/^H 


■ 


swbys 


1.41 


'■37 


'■3:( 


|.±8 


1,74 


1.19 


l.Ii 


i.ro 


1,05 


1. 01 


>.>.jE^^| 


1 


■ S w 


2.21 

3.06 


3,15 

Z ^1, 


2.09 


2 03 
2.45 




LSI 
2.29 


t 4! 

1.22 


'■J9 
2.13 


1.33 
1.05 






sw byw 


■ 


W s w 


\-^tf 


VSO 


1-4' 


V3 = 


3.73 


3.14 


305 


2.^5 


1.45 


^•J/ 


2-39^l 


■ 


w by s 


l-S? 


4-47 


4-38 


4.28 


^.iS 


+.oii 


3-57 


3-4b 


J-3S 


J.zO 


i-'*^H 


P 


Weft 


&.0C 


i 50 


^.40 


; 3^ 


S'9 
6. 24 


S.09 

6.14 


4.5s 
^.03 


4.4O 


+■35 


4.-2(, 
;.3i 


1<>7^H 


w byn 






S-s? 


i,43 




w n w 
















5.(19 


6«^8 


6.40 


^-33 ^^ 


^ 


nwbyw 


6,0c 
d m 


6,10 
'J m 


6.2c 




6:7; 


6.5. 

d m 


TT3 


7->3 

d m 


1 

7-2! 
d jn 


.1 

7:3; 
d m 




fet 


^B 


Sun's 


r 


AmpI, 


0.00 


J.32 


7-o; 


[b.jS 


14.13 


17 '(g 


^t.iS 


3j-g 


(8.56 


,..S8 


34m: 


^ 


SOUTH DECLINATION. 




1 


Deg. 


a d 


2 d 


^ d 


7 tl 


lod 


12 d 


i^d 


17 d 


10 6 


12 d 


^3dH 


^1' 


Min. 




50m 




30m 




lom 




jom 






29m ■ 


n 


Pomt 


h m 
12 


12 


h m 

18 


h in 


h m 


h m 


h m 


h m 


b. m 
12 


h iti 


h m 


■ 


South 


12 


12 


12 


12 


■ 


L 1 


* by w 


3.32 


033 


0,35 


0.36 


3.318 


=>39 


0,41 


0.42 


0,44 


0.45 


0.46 


^ 




s s w 


1.0^ 


i.ob 


t.ii 


1.14 


1.17 


t.io 


r.23 


1. 2b 


1.29 


r-v 


'■31 


1 


^^ 


sw by s 


1-41 


'-45 


1.50 


1.54 


i.yg 


2,03 


2.07 


2.12 


1,17 


1. 21 


1.21 


^ 


b 


S VJ 


2.»1 
3.06 


3.14 


'■33 


S.39 


i.44 


2.51 


2-57 
3.51 


|.0C 


3,1c 
4.08 


lii 


3.19 


n 


w by w 


3.21 


,.i8 


3-36 


3'4'* 


^^H w s w 


j*-f9 


4,07 


4. 16 


4.25 


434 


4-43 


4,53 












^M w bvs 


t-^7 


ro: 


5-17 


i.2fa 
















BC| Wen 


fr.oo 
























fet 


fi.oc 


5.50 


5,4c 


J.-3O 


^19 


\e.oc\^,^?\\A1\^-v\S''^'^ 


i:;^""K_ 




^_jifl^BHii^HlBBi 




ri 



^ 


"■ d 


i 


70 The Mariner*! Compaft Ri^iji(d. \ 


1 


A Sun-Dial for the Latitude of 46 Degrees. 




NORTH DECLINATION. 


Deg. 


d 


2 d 


s d 


7 d 


10 d! 


i2d 


iSd 


17 d 


13 d 


22 d 


23 d 


1 


Mm 




]OLTl 

a m 

13 


h m 
12 


30m 




30m 
h m 

12 


h m 
12 


h m 
12 


h m 


h hi 


h m 
12 






h Tnjh m 


12 


12 


IZ 


12 


■ 


i by w 


0.33 


o-ii 


O-.JC' 


J. 19 


0.27 


0.26 


1^ 


0.J3 


3-21 


a. 20 


O.ly 




p 


i s w 


I ofc 


1.04 


l.OJ 


0.i;8 


0^^ 


352 


0.45 


0,46 


3- + ? 


:i.4l 


0.39 






iwby s 


l.+l 


1-18 


"-.H 


l.rjO 


i.2t. 


1.21 


I,i7 


1,11 


I.Oti 


1.04 


0.01 






s w 




2.17 

J.OI 


2,1 1 

i.^4 


Z.06 
2.47 


z.oc 
!>4c 




1.4S 


I 42 


i.3'J 


HO 


1.26 
'57 




swby w 


2.35 


2.17 


2,09 


t.QZ 




ws w 


4. Co 


3.^1 


1-13 


M^ 


,.2i- 


3-J7 


3.08 


2.;9 


j.^9 


2.41 


»3S 






w by s 


^.^i 


4.49 


4'3q 


+'1° 


4 = 


411 


+ .O.? 


3.5c 


i'39 


3.30 


3,aj 






Weft 
w by n 


6.O0 


<;,i;q 


5.40 


5-3' 




S-ii 

6.14 


5.00 


4.40 






4.21 

E.26 




6.04 


;-S4 




w n w 
















6.^9 


6.49 


6.41 


034 




» 


nwbyw 


6.ao 
il m 


6 10 
d tfi 


J m 


6,:,. 

J m 


542 

d iTi 








7T9 


7^9 


7-4« J 


Q fet 


d m 


7-04 
d m 


?i6 

d in 


7-47 
d m 


^ 


Sun's 


d IP 


d en 


b 


Ampl. 


o.oc 


3-36 


7.13 


[d,;d 


14. li 


iS 9 


11. « 


liT.-iq 


3D.9, 


ii-n 


K-^ 


« 


SOUTH DEC 


LI 


— — — >-H ^ 

NATION 1 


Dcg. 


3 d 


£ d 


,- A 


7 J 


10 j: 


12 c 


■S^ 


17^ 


20 C 


Z2C 


zj a 


■ 


Min, 




jom 




J on 




jom 




jCpir 






2Qm 




c 


Point 


h m 

12 


il in 

12 








12 


h m 

12 


h cr 

J2 


h IT 
12 


12 


12 




South 


■ 


*by w 


^■33 


0.J4 


0-35 


^'3- 


Q.jS 


04c 


:..4l 


0.43 


°4H 


?.4S 


1.46 




■ 


* s w 


1.06 


1.D9 


1.12 


'■'? 


l.lt 


I.2C 


1.21 


Lit 


I.!C 


1.32 


1-34 




■ 


sw by s 


'43 


"•■»7 


J.51 


'■S 


A.oe 


2.04 


z.o? 


2.11 


2. It 


1 21 




1 


&w 


3. 21 


z.ztj 
J. 16 


2. 2 J 


2-4' 


3T37 


r.^z 


2.,-i 


3.04 
4.CC 


3 ic 


3^i6 
4,15 


3-10 


1 


swby w 


3-D« 


)-"Vl 


i-l! 


■ 


ws w 


+.CD 


40c, 


f'J7 


4.2f 


+•54 


+■+1 










!■ 


■ 


w by s 


+ -S« 


^.tit 


S-17 


i.i6 














■ 


i 


Weft 


5 ot 

6 00 


^.iJO 


M^ 


5.J9 


S.i8 








4.JI 


4.2t 


11 


G> fet 


S'O? 


4.56 


4+4 


rv^ 


n 


1 


■Hi 


■ 




d 



■ 


^^^r 


"^ 


1 


7i The Mariner's Compa/j ReS^ijied. 


1 

i 1 


A Sun-Dial for the Latitude of 48 Degrees. 


NORTH DECLINATION. 


Deg- 
Miji. 


d 


z i 
30m 


b m 

I£ 
J.3I 

r.oj 
138 

3.59 

♦■43 

6.22 
d m 
7-9 


7 d 
jom 

h in 

12 
a.3t 

i.oe 
i.;4 

I:. K 

J.4'; 
4.3^ 

i'3T 

S.34 

6.3, 

d in 

I '.If 


10 ci 

h 01 
, 12 

0.58 
i.30 

Z.46 

3- 3'' 
4.^5 
5'23 

d nt 

';■ = 


IZ d 

join 


[5 ( 


I7d 
30m 
h m 

12 
p.z^ 
0.49 
1.17 
'•47 
:.23 
;,ofc 
3,56 
4-54 
5.5& 
ft. 59 

72* 
:6.43 


2:1 c 

ti m 

12 

o.!3 
0.46 

I.I! 
1,41 

J. CO 

2-!7 
J.46 

4-43 


22 d 

b m 

>3 
O.IZ 

a.44 

r.08 
■..36 
2,09 

M9 

3-3« 
4-35 


23 < 

h n 


Point [h m 


b m 


h m 

12 

0,27 

■^■ss 

i.zS 

I.J9 

-=■33 
>.»3 
4 16 

S-14 
6.16 

S^ 
d m 
.3.51 


h m 

12 

0.26 
0.52 
1.21 

1.;:. 

^■31 
MS 
4.06 
S.04 

6.06 
7.08 

?.C9 

i m 

12,4-5 


South 
S by w 
5 sws 

swhy 5 
s w 


IZ 

034 

1.0 g 
1.46 
i.27 

+■03 
5.0a 
5.CO 


IZ 

0.31 
r.42 

Z.ZI 

3.06 

4.5. 

S-S' 


a.2i 

0.43 

(.■OJ 

J. 32 

Z.04 
'■43 
3-31 
4.2? 

S-3J 
8.36 

7-4Q 
7-sS 




iwby vt 
why w 

w by s 

Weit 


whyn 

w n w 

[tw byw 






J.46 

d m 


S^38 

7'+5 


,0 fei 


6,00 


6.11 


fc . ■. — 


I m 
3,oo| 


3-41 


d in 'J 11) 
343 J6.J5 


SOUTH DECLINATION. 




Deg. 
Min- 


d 


2 J 

li m 

0.3. 
I.I 1 

1 50 

til 
4.11 


i 

h m 

IZ 

3.36 
1.14 

M7 


7 ^ 
30m 

h en 

■ a 

\.\'- 

2.45 
4-3Z 

f.zt 


ID d 

K ni 

12 

0-39 
i.i', 

3-3% 
4-35 

5 is 


izci 

m 

i^ 
3.40 

£.22 
2.0C 

z.^4 

+•44 


Ijd 

b m 

42 

2 to 
3. or 

3-53 

4.53 


17 d 
3001 
h m 

0.43 
Z.I 5 

3,05 

,.38 


2od 


iz d 


23 d 
1.9111 

!i m 

12 

=■47 

• 3S 

Li! 

,Q4 




Poin: 


[1 m 

12 

a45 
[.31 
2.15 

3-13 

4'ii 


h ID 

12 

3^46 

'33 

2.23 

iiLZ 




South 

* by w 

& s w 

sw by s 

s w 


IZ 

3,1; 


1 ^m 


w s w 

w bys 

Weft 

tv /re ^ 


4-03 
;.oc 

6. CD 


1 r^ ■" " ■ ■■ ■ " " ■ ^ ^■^^^^-«- 


d 



The Marina^ i Compajs RtSiiJitd. 



n 



A Sun-Dial for tfac Latitude of 49 Degrees. 



NORTH DECLtNATION. 




■ 


^^K 


—^ 




j 7 a The Mariner's Compajs Resitted, 




A Sun-Dml for the Latitude of 4.8 Degrees. 


NORTH DECLINATION. 


Dcg. d 
Min. 


2 d 
3011) 


S ^ 

h m 

12 

3.31 

r.03 

[38 

2.16 

^■59 

,.42 


7 d 
30in 

h m 

12 
3.3t 
1.00 

1.34 

J.IL 

J.4C 
4-34 
S'3l 
5.34 

6-33 

i m 


10 c 

b m 

12 

1.3c 

1.46 

]'3' 

4.25 
; 23 


30m 


ijd 


I7d 

30m 
h m 

J2 


h m 


Z2 d 

h m 

.'2 
9.2 2 
3.44 

J. 08 
1.3(1 

2.09 

5-3a 

4'3S 


*3« 
Z9R 


1 


point t m 


h m 


h rn 

!2 

0.27 

[.25 

1.59 

2.38 

J.a3 

4 ft 

■i"4 
6.16 

6-S? 
d m 
t3.;i 


12 
0,26 
0,51 
i.ii 

'■;^ 

1,31 

4.06 
5.04 

6.06 
7.08 

7.C9 

d IP 
M.45 


li in ' 
12 


Santh 1 2 


12 

0.32 
1.06 
£.42 

3.06 

3-5'' 

4-Si 
5-S' 


S by w 

s s ws 

swby s 

£ W 


•^ it 

3.12 

+.03 
J. DO 
6.00 


0»2^ 
0,49 
1.17 

'■+7 
{.o(» 

3,56 

4-J4 
556 

;.zi 

li m 

16.43 


0.23 
0.46 
1.1: 
1.41 

1.16 

J.S7 
J.46 

4-43 


0.4a 
1.05 
".32 

1.43 
3.31 

4.28 

6.36 

7.4Q 

7 56 


* 


twby vr 
w by w 

wbv s 

Weft 

wbyn 
w n. w 

sw byw 






5.46 
G.SC 

7-35 


7-45 

7'47 


.0 fet 


6.006,] J 


6.2: 

d m 
7.29 


Sun's 
Am pi. 


d ciJ m 


d m 
30.45 


d m 
3-43 




SOUTH DECLINATION. 




Deg. 
Min, 




2 d 

,om 

K m 

f 1 

1.1 1 

I 50 

>'4P 


h m 

12 
a. 3 6 
1.14 
1. 5^ 

4.19 
SI7 


7 <i 

30m 

h m 
U 

i.tt 

2.4,1 

S-26 


CO d 

h IT 

II 

0.39 

2 Oi 

2,4b 

4-3S 


11 d 

30m 
in 
12 
0,40 
t.zz 
loC 

34t 
4.44 


.5d 

b m 

U 
042 
|.3i 

3 io 

3.0c. 

3S3 

4.51 


30m 
h rr 

12 

1.2^ 
2.15 

4iai 


sod 


22 d 


29111 

li m 




Point 


a 45 

i.ji 

3.1; 
fa, 

4-»S 


Ji m 




South 

s by w 

5 s w 

iw by 3 

s w 


12 

J.4& 

2.2; 


12 

9.41:1 

J-33 

2.23 

J-'7 

+■13') 


12 

0.47 

'■35 
2.36 

Li! 




iwby w 
w s w 
w bys 

Weft 


3.1= 

4-03 

6,00 


PJytJ ier lii.ci ^ 


;27 


S 'S 


h04 




1 ■>*» - ■»»- ^^ ■ ^^^^^^^m^^r^ 


J 



Tbi Marintr^s Compajs R«aifiid. 



n 



A Sun*^Dial for the Latitude of 49 Degrees. 



J. 



NORTH DECLINATION. 




^ 








74 The Mariner^ J Compafs Reffijied. 




A Sun-Dial for the Latitude of 50 Degrees. 


NORTH DECLINATION. 


Deg. 


d I d]5 d' 


7 «! 


10 d 


izd 


1; i 


.7d 


to d 


zzd 


23 d 




Min. 


h m 


fom 


3orr 
h tn 




;om 


h m 


h m 


h m 




29^11 




Point 


!i m 


K m 


h m 


h m 


h m 


tt ni 




South 


1 z: 


IZ 


iz 


(I 


■ z 


iz 


12 


12 


12 


12 


12 






» by w 


5-jS 


0-33 


ji 


d.ji 


0,30 


o.z8 


0.17 


0.26 


0.24 


O.Z3 


0,Z2 






( s w 


1.10 


uoa 


I-OJ 


1.03 


1. 00 


a.; 6 


a.?S 


3.51 


5-49 


a.47 


0.45 






*w by s 


r.4lJ 


1.4; 


1.41 


'-37 


'•33 


1.29 


1.2s 


1.21 


Mb 


r.13 


1. 10 






f w 


J..6 


J.09 


■.so 

3-03 


3.15 

2.56 




i-04 


i.SH 


2.30 


I '47 

2,23 


1.42 

m6 


'■3« 
z.tz 




*wbyw 




W i w 


4,1:16 


3S9 


^•5" 


J 44 


3-3t> 


3.25 


J.zi 


3 '3 


3,04 


1,57 


2.51 






W by s 


r.01 


4.; 4 


+■45 


^.57 


4.19 


4.ZD 


».li 


403 


3.53 


3 4! 


3-39 






Weft 


t.QO 


^^2 


?'+3 


T-IA 


j..zb 


!■•? 


^oy 


4-';9 


J-49 


41' 


+-34 


































w by n 








^■31 


6.:; 


6.1? 


&.c.ti 


i-S9 


i-VJ 


J.42 


V3'' 






w n tv 














7.0IS 


7.00 


O.JI 


6,44 


0.39 




I 


nwbjw 




















7-4S 


7.41 




k 


1© fet 


6. 00 


6 w 


6,24 
d m 


6.36 


&.49 
d m 




7'H 

(I iTi 


7.28 

d m 


7'43 
d m 


MS 
d m 


8.05 
d m 




w 


rSun's 




AmpL 


OC^ 


'•53 


7.4^ 


ii.<» 


ir.JO 


H1.«C 


'i-45 


»;-5i 


32.8 


15.'37 


38.20 




SOUTH DECLINATION. 


lien. 


3 d 


: a 


i d 


7 (1 


10 d 


i£ d 


.Sd.7d 


20 d 


IZ d 


2,d 


. 


Min, 


l| [D 


3oni 
h m 


h m 


h 111 


K m 


h m 


h m 


30II1 
h rti 


h m 


h m 


h m 




k 


l^olnt 


^ 'Souch 


IZ 


IZ 


12 


FZ 


IZ 


12 


12 


12 


IS 


IZ 


J2 




sby w 


0.3^ 


O.jff 


0.37 


O.JS 


0,<1C 


-3.41 


Q-42 


0.44 


0.4 s 


□.46 


0.47 




5 S W 


[.U 


I.J3 


MS 


l.li^ 


[.XI 


1.2 3 


t.ib 


i.ztp 


l-JZ 


1.34 


,.36 




sw hy s 


..+5! 


1.52 


l.jt 


I.Ot 


i.o4 


InOM 


112 


2. 16 


2.20 


2.24 


a.»7 






s w 


i.i6 


1-15 


5.40 


'45 

3 3' 


1 SC 


z,5t 
J-43 


3^1 

3'Si 


J.O7 


i-'3 


1-17 


3.21 


J 


sw by w 


4.01 


4.09 








w s w 


4.0! 


+-r4 


+.3 1 


+ 2tJ 


+-it 


4.44 












■ 




wby fi 


^o? 


<;.io 


;.«« 


















■ 




Weft 


6- DC 
























> 


/) Ui 


6.0CJ5.46 


i-3^ 


5.24 


;.ti 


♦•59 


4,4£ 


ii' 


+.17 


4,05 


3'5S 




k 


^^^^^^^^^^ 


J 



E 


■ 


^^ 


1 


^ht Mariners Ccmpafs Rt^ijied. 75 


A SuH'Dial for the Latitude of 5 1 Degrees 




NORTH DECLINATION. 


Deg. 


3 d 


I d 


> <! 


7 d 


to^ 


[2d 


>Sd 


17 d 


2od 


22 d 


23 d 


P 


Mm. 


1 m 
12 


1 m 

IZ 


30m 
1 m 

12 


3001 
1 m 
12 


1 m 
12 


1 in 
12 


1 m 
It 


join 
1 m 


1 m 


li m 


2gm 

i| m 

12 


Point 


12 


[2 


1.2 


^H 


s by w 


0-3S 


3-34 


0.33 


0.^1 


3.30 


029 


0.28 


3.z6 


P.Zi 


0.Z4 


3.?J , 


^1 


s s W 


1. 11 


1.09 


t.o5 


'•04 


1 01 


3,Sg 


■3,5^ 


■3. 13 


3.5! 


0.4a 


3-47 J 
I. .2 ■, 
1,41 


^B 


swby s 


1.50 


I.4& 


1.42 


1.39 


'■35 


! 3> 


'.17 


r-^3 


1.19 


1.1s 


B 


s w 


= 3' 

3.17 


1.26 
3 " 


2.21 
3.05 


J ifc 

?.59 


2. II 

'■5* 


Z.06 
2.46 


1.01 

1.39 


f S! 

'•33 


2.Z6 


1.4s 


swby w 


2.10 


2.15 


^1 


w s w 


4..0S 


^01 


3.53 


3-4^' 


3^39 


3.31 


3.24 


,..b 


3.0H 


3.01 


2.;; 


^H 


w by s 


S-.03 


+-S5 


*-47 


4-39 


4-31 


4,2! 


414 


4°S 


s-sft 


3 49 


J4J 


1 


Wert 


6.0c 


^i.^ 


!i_4_4 


^35 
&-3H 




5^ 


6.09 


6.00 




4-H 
544 


4-37 ' 


wby n 




^H 


w n w 














7.08 


7.00 


6.^2 


6.4s 


6.4O 


H 


nw byw 




















7-45 


7-4' 


I 


*ei 


6.0c 
d m 


6.U 
d m 


6.^^ 


6.3 fl 


6.JD 

d m 


7-03 
d m 


7'«; 

d tn 


?-3^ 
d m 


7 47 
d fn 


3.00 
d ffi 


3.10 1 

- 

d m 


Sun's 


di m 


i Ttl 


1 


Amp3. 


Q.QC J.jS 


7-5E 


11.57 


16.1 


:o.8 


i4..b|jS.31 


J=-S4 


i6ir 


39-'9 


SOUTH DECLINATION. 


Deg. 


a d 


I d 


i ^ 


7 d 


10 d 


I2d 


ija 


i7d 


20 C 


22 d 


ij d 1 


■ 


Min. 




30111 


\\ m 




h m 


h m 


h. m 


joni 
h m 


h m 


h m 


29m 
h m 


Point 


h m 


^V 


North 


12 


12 


]£ 


11 


12 


12 


12 


11 


12 


12 


12 




s by w 


03s 


0.36 


^.38 


0.39 


(?,4o 


M' 


0-4: 


J. 44 


o,4f 


0.47 


.4fi 


^^ 


s s w 


I.I 1 


1,14 


I. lb 


1.19 


I.Zl 


1.24 


r27 


l.Zg 


1.3 = 


'■31 


1-3^ 


^H 


sw by s 


1.50 


I.J3 


'■57 


i.QI 


J, 05 


1.09 


1,13 


3.17 


2.21 


Z.2fl 


1.2? 


1 


s w 


2.31 




?.4i 
V30 


3.46 
3.36 


J-4^ 


2.57 
3'45 


3,02 
3-S5 


3.0; 

4.02 


3"^ 

4.0c 


3.ih 


3. XI 


sw by Vi 


3-1? 






^H 


W s w 


+.0!< 


^■'5 


4,22 


4*9 


4-37 


4+4 












1 


W by s 
Weft 


;-o3 

6.0c 
6xc 






J. 12 


rit 


4-57 


4-4? 


\a\ 






iv\ 


f« 


+ >5 


4.QC 


L 





■ ■ 1 




-• 
















^ 


1 


y6 Tte Manner's Cempafi ReSfiJied, 


1 

1 


A Son-DJal for fhe Latitude of 52 Degrees. 


r 
I 
[ 


NORTH DECLINATION, 


1 


Deg. 


9 d 

1 m 

13 

1.13 
1.51 

3.19 


li m 

11 

D.31 

r.+7 


1.0b 

MS 


7 ri 
30tn 

1 SI 
IS 

3.32 

j,iK 
3.01 
34S 

^i4 

6,39 

i~ 
11. ij 


ID d 
1 m 

IZ 

0.31 

1.03 
,..36 
'•'■) 

3.4! 
+■33 

'j- 
d m 
16,13 


12 d 
join 

ll Ll) 

IZ 

5.3'- 

f-3i 

2 oS 
^.48 
J-34 
♦ 2; 

6. IB 

J. ni 


,5d 
ll tn 

IZ 

o.zt 

?-S7 
1.29 
1.03 

2.42 

3.26 

y,e 

; 12 

7,20 

1 m 


17 d 
join 

h m 

tz 
a. 27 

1.2j 
1.555 
2.3t 

319 
408 

S.03 

6-0! 
■ .1 5 

19.14 


40 d 

ii ni 

t2 

D.26 
5,57 

1. 21 
1-51 

2.29 

3 11 
3-59 

S-S3 

6.S3 

7-5' 

d IP 


IS d 


2j d 
29m 




Point 




South 

s by w 

■ s w 

sw byi 
s tv 


12 
0.2> 

J.jO 

1. 17 

l.4« 


12 
0.24 
j-48 
(.15 

1.41 




5W by w 

w « W 

w by 1 

Weft 

' w by ti 
w n w 

nwbyw 

fet 


i.24 

J. 04 

J.S2 

4,6 


I- 59 
3 4*' 
4.40 








J -45 
745 

d m 


i-40 
6.4I 
741 

d m 

40.13 




6.fKi 

3 oe 


6.13 

li UL 

4-^3 




Sun's 

AmpL 




1 SOUTH DECLINATION. 

1 




Deg. 
Min. 


3 d 

h in 

3.36 
1.13 

l.Jf 

J. 19 
l-ov 

W.ec 


£ 

{Oin 

[1 Bt 

12 

'55 

Lit. 


r.i; 

J.I I 


7 ' 

b m 
11 
0.39 
1.20 
t.az 
2.48 

3 37 
+ 30 

,-.2-. 


10 d 

h ir 

J2 

3.41 
t.22 
1.06 
M3 


IZ d 

1.25 
158 


.5d 
h m 

12 
3.4} 
1.2J 

»'3 

1 
4.4c 


.7d 
ll m 

IZ 

3,44 

■•3^ 

i.j: 
].o8 

40: 


10 d 

h m 

12 

.}.4,& 

•■33 
1.11 

M3 
4.JC 


22 d 

h m 

12 

0.47 

J. 2; 

m8 


23 d 

ZQRl 

h in 

12 

0.48 
••37 

3,22 




Point 




Sooth 
sby w 

s s w 

sw by 5 

s w 




^Jsw by w 

^wbys 
I Wrft 


+•37 
3^08 


+ 4-1 




/O^f , 


4-'S 


4.09 


l^'-ys 


3,44 







^^^ 


^ 


Tfre Mariner's Qcmpaft RxSijitd. 7^^ 


A Sun-Dial for tfie Latitutlc of 5j Didoes. ■ 1 

1 


N^RTH DECLINATION. 


Dcg. 


d 


2 d 


S d 


7 d 


10 il 


i?d 


i^U 


.7d 


jod 


«d 


[) d 




Min. 




^orn 


I 


3010 




jcm 




;oai 






A91D < 




Point 


h m 


h m 


1) m 


ti III 


h 13 


ii pj 


|i m 


1 m 


ll m 


ll m 


k in 


1 


South 


1 z 


12 


u 


iz 


12 


|i 


tz 


(2 


II 


12 


If 


■ 


i byw 


Oij6 


O.J5 


-3 34 


0-B3 


■p. 31 


0.50 


.\«5 


0.1^: 


o.zf 


02s 


o.i4 


w 


s s w 


1.13 


i.t 1 


1.08 


j.c6 


i.04 


t,ot 


o-i^ 


0.56 


0-^3 


0.51 


o-Sc 


I 


aw by s 


1.52 


'-49 


'■45 


1.41 


i.jh 


'■34 


1.31 


I.t; 


1.13 


l.iV 


1. 17 


k 


s w 




3.30 


Li? 


2-ZO 

3-03 




Ml 


2.45 


a.oc 


'55 

t.32 


1.51 

2.26 


'■47 


swbyw 


■ 


w s w 


.4.1c 


4,04 


3-57 


3.5c 


3-43 


3-3& 


>19 


3" 


j.H 


g.oB 


303 . 


■ 


w by s 


S.04 


4-S7 


449 


fl-42 


4 51 


4.27 


*.!■■; 


411 


t-o: 


3-55 


3-50 


^ 


Weft 


6,00 


s.s= 


S 45 


S-37 
tJ-3-l 






i-J3 
6_ii 


5.05 


4,56 


4H9 
^47 


^43 
5-4' 


w by n 


fi.CJ 


1-%'} 




w n w 














7.G8 


7.01 


^■r> 


6.^7 


6.42 , 


' 


liiv byw 


6,0c 
(1 in 


6.14 
d m 


6^ 
d m 


6.41 










7-5' 

75< 


7.4'^ 

8.ir 
if m 


7-4» , 
8.2 1 1 

■^ — 1 

i m , 


Oftt 


d rri 


7.c> 
d lit 


7^5 


7-1*. 


Sun's 


1 ni 


d ro 


d ID 


1 


Am^, [ovOo 


4.09 


8.ig 


II. !■ 


^ rfr^fi 


21 s 


^5.>8| 


19-5! 


M-3* 


j8.15l41.15 




SOUTH DECLIMAI 


n-ON. 






i 1 


Deg. 


3 (1 


z df; d 


7 d 


10 d 


12 d 


r;d 


J7d 


lod 


II d 


X]d 1 


m 


Mib. . 




jon 


jom 




30m 




30111 






*9» ] 


: 


Poiiil 


h m 


h m h m 


h m 


h m 


h tn 


h m 


ll lU 


b m 


h m 


h m \ 




South 


12 


ii 


12 


1: 


12 


12, 


i: 


12 


13. 


12 


»2 


1 


B by w 


o.j6 


0.^7 


0.38 


5.40 


0.41 


0.42 


0-4 J 


■^.4^ 


t> 4b 


<i.47 


f>-4*< 


^ 


5.8 W 


l.M 


1.16 


i.i» 


1,20 


1.33 


1.2^ 


1 zH 


1.3c 


'•J3 


1 H 


> 37 


■ 


S.W by !. 


l.;2 


1.^6 


J. 00 


1.05 


2.07 


t. to 


1.14 


1.1% 


t.ti 


i.j5 


i.x£ . 


r 


stv 


S.J4 


2-)l9 


z 44 


1.49 


I 54 


1.5a 


.I'03 


3.0^ 


J M 


i-'« 


j.ia 


\ 


jwbyw 


J.2t 


3.26 


t 3 = 


3,3& 


3.44 


J JO 


i^Sf 


4<J1 










W6 w 


♦,io 


H-i? 


t-M 


4-30 


+■37 


+ 4i 










' 


L 


wby s 


5.04 


;;.il 


5.19 


















■ 


Weft 


6-00 
















- 






■ 


pf« 


fi.ac 


f*6 


S33 


f.19 


5,06 


♦ pU'VU-*' 


U.<i»J.^ sAvN^ 


K 


.^ ■ 




J 


■ 


■i 


■ 


^^^^^^^H 


■ 


■ 


■ 


■ 




^he Mariner s Compa/s Re^ified. 




A Sun-Dial for the Latitude of 54 Degrees. 



NORTH DECLINATION. 



Deg. 

Min. 




1^ 


^^ 




n 






The Mariner*! Compafs RjSlified, 


rp 


A Sun-Dial for the Latitude of" 55 Degrees. 


NORTH DECLTNATION. 














Deg. 


d 


2 d 


S <! 


7 d 


[□ d 


12 d 


iSd 


,7d 


20 d 


":^ 


23 d 




Min. 




]oni 




join 




jom 




30m 






2911: 




Point 


h m 


h m 


li pj 


h m 


h Bi 


h m 


h m 


b. m 


h in 


h m 


h m 




















^v^^ 




■ Ml 






South 


12 


12 


11 


IZ 


12 


II 


12 


12 


11 


12 


12 




s by w 


0-37 


0.36 


35 


0.34 


3,33 


0.31 


O.3L 


0.25 


j.iB 


3 27 


0,26 




saw 


1.15 


l-t3 


l.io 


J.OH 


1.06 


t.03 


(.01 


J, 59 


0.56 


0.54 


052 




swby s 


■■55 


1,51 


1.48 


'•4i 


1.41 


.,38 


1.34 


1.30 


i.?7 


1.23 


1. 11 




sw 


2-37 


2.33 

3 '8 


z.z9 


J.07 


1. 19 
3.0J 


2.14 
2,56 


2.10 
2,50 


1.05 
2,44 


z.oo 

2,3s 


'■55 

2-33 


2.29 


iwbyw 


h 


W5 w 


l-.ij 


4.06 


4.00 


3.54 


3-47 


3.4] 


3.34 


3.2- 


3. IP 


M4 


3-10 


^ 


w by s 


5.0; 


+-S5 


4.52 


4^5 


43b 


+■3' 


l.a3 


4.1& 


4.0« 


4.02 


3-56 




Weft 


6.00 


5'S3 


5.4b 


S'39 
6.31 


■5-3^ 
6.27 


5.2^ 
6.2c 


5' J 7 
6., 3 


5.0y 
6.05 




S-5' 


4.45 
5.46 


w by (1 




W Tl w 














7.09 


7.02 


fa.5i 


&.49 


6,44 


k 


nwbyw 


















7-5' 


7-4' 


7.42 


^ 

^ 


Ofct 


6,00 




6.29 


6,4^ 


5,58 
d III 


7.J4 
d IT! 


J m 


7-47 
J ni 


8. 05 
d m 


d ni 


»-33j 
d RI 


Sun's 


d m 


d ni 


d m 


i 


Amp. 1 0.0c 


4.11 


8.44 


'3-9 


'T-17 


II. iw 


1«,49 


51,57 


59.36 


4C.47 


44.K 


SOUTH IJECLIN ATION. 


Deg. 


d 


2 d 


? <» 


7 d 


lod 


12a 


,5d 


17 d|iod 


^z d 


23 d 




Mln. 


h IT 


3,9tn 
h m 


h m 


50111 


tl m 


h m 


h in 


join 


h Ri 


li ni 


19m 
h nt 


Point 




South 


12 


12 


J2 


12 


IZ 


12 


12 


IZ 


11 


12 


12 




s by w 


0-37 


0,3s 


Q.39 


0.40 


0.41 


0.43 


0,4^ 


0.4s 


0.46 


0.47 


048 




3 s w 


l.M 


1.17 


f.20 


1.22 


1.34 


r,2b 


1 zg 


i.ji 


»-34 


!.,(, 


i-Sh 




sw by s 


'•SS 


i-ss 


2.0I 


2.0s 


a. 08 


2.12 


1.16 


2.1^ 


2.23 


Z.26 


t.19 




sw 


2-37 


2.43 


2.46 


2. SI 


2,;S 


z 00 


3.0; 


3,1c 


J 'S 


3 'S 


3-»i 




sw byw 


3-*3 


3^9 


3 34 


3 4° 


3-4; 


3-5' 


3'57 


4^3 










W5 W 


4.13 


4.19 


^2S 


4.32 


4.3a 


4.45 












h 


wby s 


;.o^ 


?.1J 


;.i9 


















■ Weil 


5.00 


























^^^^ 


r-^-- . 








• • 








■ 


I fit 


6.00 


5.46 


S 3» 


!-'7 


S.OJ 


4.4(1 


A-"i^ \V-'^%\%'SS\^ ^S\V>--f 



^bi Mmner'i Compaf$ Reiiifisd. 



A Sun-DiaJ for the Latitude of 56 Degrees. 








7i&# Mariners C&mpafs RiEJified. 






81 






A Sun- Dial for the Latitude of 57 Degrees 






NORTH DECLINATION. 






Peg 


d 


2 d 


.- ^ 


J c 


lod 


ra d|t5 d 


17 d 


20 d 


32 d 


z,d 






Min. 


h m 
12 


IZ 


30in 
h m 

IZ 


b m 
12 


b m 

■ 2 


iOdl 

b m 
12 




30m 


b m 
12 


h ni 
12 


h m 

12 






Point 


h m 

12 


b m 

JZ 






South 






s by w 


0,38 


"3-3; 


0.36 


..35 


^34 


Q,3i 


0.31 


0.3c 


O.ip 


0,2? 


0.17 






■ a w 


1.17 


t.14 


1.12 


I.IO 


1 0^ 


a. 06 


e,aH 


1.01 


S9 


0-?? 


a.?? 






iwhy s 


>'57 


t-53 


i.^i 


147 


t.44 


C.41 


'^37 


1-14 


I. JO 


t.37 


1.25 






J w 




(2! 


M6 


311 


2.23 

1,0s 


z.ib 
3.00 


2.14 


2.IO 
1.49 


*-43 










Swbyw 






WI w 


415 


f.09 


+.03 


3-S7 


3-5' 


3 4S 


3-39 


3-33 


f.2b 


3.2. 


J.i6 






w by s 


;.a7 


;Oi 


+•5+ 


447 


4-4' 


i-M 


4 2;s 


+.21 


4-13 


f-07 


403 






Weft 


b-oc 


vj3 


547 


;.4c 


rj? 


>-i7 

6.31 


6,14 


5.12 

■6.0; 


5.0^ 


1 59 


t'!f4 






wbyn 




6.34 


6.2b 


6 og 


,-.545.50 






wnw 












7-'S 


7.09 


7.03 


&.56 


b-s. 


&46 






DW kjVf 


















7-51 


7-47 


?-43 






a w 




^ 


















a. 38 






i<;t 


6-QC 

d m 


6.[fc 
d m 


1,1 


6-47 


?.03 
J m 


7,27 
d m 


7. ,8 
d ffl 


7.56 
d m 


S 16 
d m 


4i34 
d m 


d.48 
d m 






"s^ihT 


T — J — 
a a\ 1 n. 






Amp!. 6.0c 


+ 35 


9' 5 1 13.51 


>8-3J 


13-14 


18.13 


J3J' 


3*.S3 


43,27 


47'» 






SOUTH DECLINATION, 








Deg. 


:i d 


^ d 


; ^ 


7 d 


10/ 


E2 d 1 j d 


17 d 


?o tJ 


22 d 


23 d 






Mln. 




JOrrj 




,C1T'. 




30m 




lom 






igir 






Pt>in[ 


b m 
tz 


ti in 
12 


h. m 
12 


1 m 

12 


b A] 
12 


b in 
12 


12 


n m 
11 


J2 


12 


fi m 
11 






Nortii 






s by w 


0.38 


''.iS 


1.40 


0.41 


0.47 


^■43 


■^41 


,.^t 


'.47 


04.8 


045 






& 5 w 


i.i;- 


*'9 


1.2] 


1.E3 


1.25 


[.27 


1-30 


"■3- 


'■3fl 


i.3(. 


1.38 






!w by s 


'57 


i Ot 


3,03 


S.07 


'-10 


r.ij 


a.i7 


J.2t 


i-24 


1.27 


2.29 






s w 


J. 4.0 


I.. 1 4 
3-3' 


2 4t( 

^36 


'■S3 
3'4' 


^57 


3'i' 


3.06 


t.03 


3-<5 


3''9 








BW by w 


3,26 






■W 3 W 

w by H 




S-13 


4,26 


43 = 


f3« 


















Weft 


:j.oo 
























, 


ftt 


'-00(5.44; 


5.Z9 


S13 


1-S? 


4.40 


4.21 


4.04 


3.4^1 


^.26 


i-ii. 





^^^ 




H 


8 2 Tbt Mariner's Compafs ReMified. 


y 


A Sun-Dial for the Latitude of 58 Degrees. 


^ 


NORTH DECLINATION. 


Deg- 


a d 


* d 


. ^ 


7 d 


bO d 


12 d 


I^d 


l?d 


20 d 


22 d 


23 d 




Min. 




30in 


h m 
1 z 


30111 

h m 

12 


11 


h m 
12 


h m 

12 


3oiti 

h m 

12 


h m 

12 


h m 

12 


19m 

h m 
11 




Poijn 


iz 


11 


South 




s by w 


38 


^■37 


1,36 


0.35 


^•3^ 


0'33 


9.32 


0,31 


0.30 


o.zg 


0,18 






s s ws 


I.I; 


i.t; 


•M 


1.1 1 


1.09 


1.17 


I.OS 


1.02 


1.00 


5.58 


0.57 






»wby s 


1.58 


•55 


• ?' 


'■49 


1 4b 


1. 42 


t.J9 


..36 


i.ji 


t.*9 


'.27 




■ 


s w 


2.41 


'■37 


*'33 
3.17 


3~' 


J.07 


t.io 


2 16 


2. IZ 


107 


2.04 
2.41 


•..01 
2.38 




iwby IV 


3-^7 


3.2; 


3,02 


'■S? 


i-St 


t.4b 




w by M 


4, 16 


4.10 


+ 05 


i'S9 


iS3 


i.47 


3.41 


J-3S 


3,29 


323 


3.19 


■ 




w by s 


S-o? 


iOI 


t?^ 


+ 4^ 


4-t3 


4 3ti 


4.30 


4.2J 


4.1b 


*'»o 


4.06 






Weft 


6.0c 


:.;^ 


i-47 


S-4' 


vM 


J.2S 


S.2. 


>.'! 


J. 08 


J.Oi 


4-57 




^ 


vfbyn 








6.,M 


6.28 


5. 22 


b.lS 


6,08 


6.0; 


i?6 


55' 




■ 


w n w 












7.it 


7.IQ 


7.03 


6.5? 


6.52 


&.4IJ 




■ 


nwbyw 
















7-S7 


7-S' 


747 


7-44 




■ 


n w 






















8,38 




1 


I'c 


1 m 


6.16 


6.3! 

d m 


6.4t. 


■.<:6 
rl m 


7-n 
d m 


?,4z 


S 01 


».2! 

d m 


^.4! 
d m 


8.56 




vl m 


d m 




Amf 1. 


0.00 


4-43 


3. =6 


4.1b 


197 


>4.C 


19.14 


44-31 


4a.iz 


JI-S9 


4^.49 


V 




SOUTH DECLINATION. 




Deg. 


d 


2 d 


? '^ 


7 fl 


ra c 


lid 


i;d 


.7d 


20 d 


22d 


2,d 




Mil). 




jom 




301R 




jom 




joni 






19m 




. 


Poinr 


K m 


h m 


h m 


il ID 


n Di 


m 


h m 


ti n 


h m 


ti m 


h m 




b 


Sotich 


12 


■ 2 


.= !.: 


12 


12 


] j 


12 


12 


Ji 


iz 




■ 


4 by w 


3li 


0.39 


^.40 


5.41 


3.43 


0.4^ 


■4i 


0,46 


3.47 


0.4S 


0.49 




■, 


s s w 


' '7 


1.19 


i.Ji 


1.24 


J.z6 


i.it 


I ^0 


13' 


'■3 


1-17 


H8 




■ 


sw by = 


'■?^ 


S 0' 


Z.Q^ 


J 07 


2 IC 


2.H 


2,i; 


t 21 


2.Z.J 


2.27 


Z.29 




L 


s w 


>*7 


53^ 


M9 
J 37 


^ S3 
1,42 


2.S7 

3-+7 


3,02 
3T- 


3.0' 
357 


3if 


31: 


J. 19 






(wby w 


■ 


W J w 


+ u> 


4,2 < 


(■■ • 


♦ 13 


4-3'^ 
















^ 


w bvs 


7.07 


Ml 


'-,.i(t 




















J Well 


6eK 






















■■ 


3/&f f6.o is.44i-2^. 


i II 


4 54 


436 


+..8 


'■59 


3,3s 


J. 19 


i "4 




1 

Ik 


i 


J 



1' 


Th Mariner's Compfift Rx^ijiid, 77 I 


^ 






^H 


■ 


A Sun-Dial for the Latitude of 53 Degrees. ' 


^ 




NORTH DECLINATION. 


Deg. 


d 


z d 


S <3 


7 d 


lodl 


lid 


.Sd 


«7d 


zod 


ltd 


'3d 


1 


Min. 
Puint 




fom 


h m 


,30™ 1 


3&m 
\ in 


!i HI 


JOB) 
I O) 






1 m 




h 111 h m 


ll HI 


U tn 


1 m 


1 m 


^^ 










pri^^^ 






. 








H South 


12 


iz 


1 j 


IZ 


13 


12 


l£ 


It 


11 


12 


12 




^1 & byw 


0.36 


0.3S 


0-34 


■o.gg 


0.31 


0, je 


^■«9 


o.si 


z.z'- 


025 


0.14 




■ 


s s w 


'•'3 


1,1 1 


i.oa 


i.cb 


I.O-I 


I.UI 


O.^i, 


:.S6 


0.^7 


0.5 1 


;..S<: 




■ 


swby s 


].S» 


1.49 


1-45 


1 41 


1.3^ 


''3-4 


1.31 


1.Z7 


»-»3 


(.r9 


1.17 




1 


8 w 




1.30 


1.15 
3.0V 


2, so 

3 -03 


* S7 


2,i<: 

3.!1 


i.05 
i.4> 




■ 5S 


1.5J 


'-47 




swby w 


Z.3* 


z.z(. 


2.32 


■ 


w s w 


4 10 


4.04 


3S7 


a.s*^ 


3.+3J-3^ 


J-«S 


;.i2 


3-M 


3-QS 


JOJ 




■ 


wbys 5,04 


4-S7 


-^49l|1■4^ 


*34 


*'«7 


^.i-- 


4.11 


4.0- 


J-Si 


J. so 




P 


Weft 6,00 


S-s? 


S_4S 


537 


s-2g 


rj.IV 


6.11 


ft. 33 


456 

.-';4 


4-49 
^■47 


4-43 
i-4' 




vf by n 




b.3l 


6.^G 




w n w 














17.08 


7.01 


<..s; 


6., 7 


5.4* 






[iw byw 


















?-S' 


7.46 


T-4J 


I 


^ 


fet 


6. or 


6.M 


6.27 


'6.41 


6.M 


7.cP. 


7-^3 


7-3^ 


7S^ 


8. It 


8.EI 




■ 


Suji's 


d III 


d ai 


d m 


d rr 


d Hi 


d HI 


i m d m 


d ro 


d in 


d m 




1 


Amp. 


O.QC 


4.09 


8.15 


It. 11 


■4^« 


11 5 


h'»«I 


>9.S« 


14-3* 


J*-*9 


41.19 




SOUTH D 


EC. 


LIN AI 


riON. 


Peg. 


3 d 


z d ^ d 


7 d 


rod 


rid 


.jd 


17 d 


jad 


xld 


ijd 




Mm. 




30m 


,om 




}Cin 




iom 






19m 






Point 


ii tn 


b ID ti in 


12 


h m 

IS 


h m 
12 


h as 
12 


1> lb 

11 


h In 
iz 


ll in 
12 


h IT. 

IZ 




§ct|iih 


)J 


12 U 




sby w, 


o,)6 


0-17 


o.jS 


3.4^ 


0.41 


0,41 


»-43 


^•45 


4(1 


11.47 


3-4*1 






sa w 


r.'M 


1,16 


(.18 


i.io 


l.Sj 


I.2S 


I i(( 


i.3fl 


'H 


'.3? 


1 J7 






sw by i 


i-sa 


1-56 


».oo 


I.O, 


a. 07 


Z.'IO 


1. 14 


I. lit! 


t.f.l 


^•n 


!.1K 






e w 




j.z6 


z 44 

5.32 


-49 


2S4 

i"i4 


i.5« 
MO 






J '4 


J.IS 


J.ll 


' 


swbyw 




Ws W 


f.lO 


4-1? 


f-M 


4-30 


+-37 


441 
















wby 5 


^o^ 


^.it 


i'9 




















, 


Wfft 


l>.00 


























fet 


6..0C 


:5 46 


S.33 


;.I9 


5.06 


4S" 


4-$7lt'" 


4'OH 


i s 


i 35 


k 1 




• ■ ■ 


1 

J 


1 


_^^^^^^^^^ 


■ 


■ 


■ 


■ 


1 



8+ 



'Tbi Mariner*} Cai/ipa/i HsSifisd- 



A Sun-Dial for the Latitude of Go Drgrecs. 
NORTH DECLINATION. 



1 




farmer's Campafs RtSlified, 8/ 

EjiaKpU2. I dcfifc to know 6t what o'Clock the Sun 
Cometh to the SW. in the Latitude of 30 Degreesj hit 
Declination being i5D*grccs South ? Jnjwrr, 34. Minute* 
p»fl 2 o'clock. 

For if you turn to the Dial for Latitude 30 Dcgfeet, in 
Page 54, and in the Table for South Declination feclc 
ijd. at the Head of it, untfer which^ and right againft SW, 
(on the Left-hand) you will find 2h. 34111. the Tine of 
the Day required. 

If the Dtclination be not the f^nic with the Declination 
in the Head 01 the Table ; then look under that Decl itiafcjoji 
which is ncareft to the Declination propofcd. 

But more exactly thus, Find the Hnurjtr the ntxt DetUna- 
iion irelh U/i and greater than the DecUnatten prapejed^ and take 
the Difference of thnfe HourSi as alfo of the Declination 

belonging to them ; Then fay. 

As the laft Difference is to the firft Difference ; fo is thes 
Difference between the Declination propofed and the next 
tefs: in the Tablc^ 10 a fourth proportional, which add to 
(when the Heur iti ihe Table increafeth) or (when it dtcretifeib) 
fubftraft from the Hour belonging to the lefs Declination 
aforefaid, and you will have the Hour required exatl to the 
Declination propofed. 

Example 3. Admit the Declination to be 16 Deg. aomin. 
North, I defire to know at what o'Clock the ?un cometh 
upon the W S W. Foint of the Compafs, in the Latitude of 
30 Degrees f 

In the Table, the neareft Number to 18 Deg. zo Min. 

■Is I7d. 30m. Then under lyd. 30m. and againft WSIV. 

is ih. 42m. which fhewcth that the Sun cometh upon 

fhe WSW. point of the Compafs, at 4.2 Min. paft one 

o'clock, 

TTow liecaufe the Decllnatiou proi^Ced, ^^^A t^t 'Qwkv- 
nation in (he Head of t\e Tate\e -iT* ^Qms?«\AV 4iSg 
reat} therefore you may ma.V;c a. '^^^^^1^^ '^^^^^ 
^''"Si under J yd, ^pm. and a.^«.vn& ^ ^^^^I^HkAHJ 



Thf Mariners Compajs Re^ified. 

\ By thefe Tables (being Sun Dials for all Latitudes) majr 

(e known the Time f the Day, the Sun beiog vifiblc in 

y Part of the HemirpherL- as true and exaiS&s though he 

■as upon the Meridian i Alfu his Rifing> Setting, and 



.mplitudc. Thelilce may be known by any Star, whofe 
[}>cclin2tion doih not exceed a^^. agm. as will be evident 
w the foUowjng PropofiUons. 

t-Bpcftti»n I. ^HE Latitude of a Place, the Sun's Decli- 
4- nation, and bis Bearingbcinggiven ; to 
d theHourof the Day. 
ii NoUt By Bearing is mcgnt the Azimuth or Point cf the 
pomiuifshe is upon; and that is foupd by felting the Sun 
tith an A^imutli Lon^pals, which is the truelt Way, prt>- 
br Allowance being made for the Variatiou, and is to he 
tcFerred before fctting the Sun wich a common Compaf;. 

The Rcfihctien eflhh Propofiiion U thus ; 
PSeek in the Sun DralTohltt for the given Latitude. 
2. At the Head of the Tabic fetk the given Declinaiio;!, 
r the ncareft to. it. 

i* 3. Find the given Bearing amopg the Points of thit 
ompafs in the Lefi*hand Column. 
4. Then lookflraighi to the Right-hand of the Bearing, 
II ytiu come right under the Declination (before found] 
fthe Head of the Table^ and what Number yon iind there 
the Hour rcijuircd. 
'' ExampU \. in the Latitude of 30 De»rces^ the Sun 
faving t5 Degrees North Declination, 1 defire to know at 
that o'clock the Sun coineth upon the SW, Point of the 
kPtng^afs f 

I Look for the Table belonging to the Latitude g{ 30 De- 
crees, which is in Page 54, and in the Head thereof, feck 
BHT iS.Degiek:s ill theColun-hr under North Declination, 
lid on its Lefc-hand Side for SW. and then in the common 
Ingle of Meeting you will find the Hour of the Day to be 
%h. 5^in. thit IS 5H Mtn. pall J2, o'Clock, the Time re^ 
ju-reJ. 

Exemph 




3>/ Mariner's Compos Recijfifd. 



89 



TABLE «/ tkt Ptints ef the Coiofafs, tquailx 
dtjiant from the Mtridtan. 



Forenoon Points. 

South 
South by Eaft 
South South Eaft 
South Eaft by South 
South Eaft 
South Eaft by Eaft 
Eaft South Eaft 
Eaft by South 

Eaft 



Eaft by North 
Eaft North Eaft 
North Eaft by Eaft 
North Eaft 
North Eaft by North 
North North Eaft 
North by Eaft 

North 
Forenoon Points. 



Afternoon Points. 

South 
South by Weft- 
South South Weft 
South Weft by South 
South Weft 
South Weft by Weft 
Weft South Weft 
Weft hf South 

Weft 



Weft by North 
Weft North Weft 
North Weft by Weft 
North Weft 
North Weft by North ■ 
North North Weft 
North by Weft 

North 
Afternoon Points. 



Example 4. In the Latitude of 60 Degrees, the Sun 
being North Eaft; I demand the Hour of the Day, the 
Sun having aa Degrees North Declination. 

In the Svn-Diel for Latitude 60 Degrees, (in Page 84) 
look againrt NW. which is the Jftermon Point, correfpond- 
iv\g to H.^.thiFerimon Point) and finding the Declina- 
tion 22 Degrees in the HeatJ of the Table, in the common 
Angle of Meeting is 8 Hours 41 Minutes, which fubtraft 
from 12 Hours, the Remainder 3 Hours 19 Minutes^ i>. 
the Hour of the Dzy required m \\veV^Q\v\vR^. 




The Mariner's Compajs ReSiified. 




1h. 42m. and under aod, 00m. you'll find ih. 25111. the 
difference between ihefe two Numbers is iym. And the 
difference between the Declination lyd. jom. and loJ. 
is ad. 30m. or 150m. Alfo the difference between the 
X)eclLnaiiDii i8d. 20m. and ijd. 30m. is50in. Then fay. 
As r^om. is to 17m. fois 5010. to 6m. aEmoft : Butbecaufe 
50 is -Jfof 150, therefore the Thitd Part of 17m. is near 6ni. 
ifchich fubir3Cl:ed from ih, 4.2m. (fcccaufc the Hour de- 
creafeth) and tlie Kemainder th. 36ni. is the true Hour of 
the Day, the Sun being upon the W. S W. Point 0/ the 
Compafs, having iSd. 2nin. North Declination. 

Do the like with any other Degrees and Minutes of' 
jDcclination ; But If the Declination be not very different 
froai that in the Head of che Table, you need not make any 
Proportion : Likewifc when the Sun is near the Meridian, 
you need not make any Froportionj becaufe there the dif-, 
ference is but fmaU. 



W 



Note, There are none but the AftsTKsan Ps'tnti in the 
Tables of thcfc Dials, yet you may eafily find the Time of i 
e Day for the Formo&n Poirtit by whiit follows. 



For Points equally diflant from the Meridian, ate equal 
Time from Noon, fo that at what fpace ai Time from 
Noon the Sun is S,E. tn the Forenoon, the lite fpace of 
I ^'Jme from Noon he is S.W. AfternoQu. 

^K As in the Tabl6 following, the Points that (Isnd right 

f agaitift one another, are equally drJlant from the Meri- 
,' dtan ; therefore to find the Hour 0/ iba Day, the Sun 
being upon any of the Farrnoon Points ; fee what Time 
of the Day it is when the Sun is upcn the Afternoon Points 
(hat ftand right againfl: the Forcnron Points dcfirtd, and 
fubirait thofe Hours ^nd Minutes fi-om j2 Hours, the Re- 
laindei is the Hour and Minute of the Day required. 



A TABLE 



5>* Mariner^ s Compafs Rectified, 



89 



A TABLE*/ tin Ptints of the Ceiafafsy tquaUg 

dtftant from, the Miridian. 


Forenoon Points. 

South 

South by Eaft 
South South Eaft 
South Eaft by South 
South Eaft 
South Eaft by Eaft 
Eaft South Eaft 
Eaft ty South 
Eaft 


Afternoon Points. 

South 
South by Weft 
South South Weft 
South Weft by South 
South Weft 
South Weft by Weft 
Weft South Weft 
Weft by South 

Weft 


Eaft by North 
Eaft North Eaft 
North Eaft by Eaft 
North Eaft 
North Eaft by North 
Ndrth North Eaft 
North by Eaft 

North 
Forenoon Points. 


Weft by North 
Weft North Weft 
North Weft by Weft 
North Weft 
North Weft by North- 
North North Weft 
North by Weft 

North 
Afternoon Points. 



Example 4. In the Latitude of 60 Degrees, the Sun 
being North Eaft ; I demand the Hour of the Day, the 
Sun haying 22 Degrees North Declination. 

In the Stin-Dial for Latitude 60 Degrees, (in Page 84) 
look againft NW, which is the Afurnoon P^'int,, correfpond- 
ing to N.E. the Fsrhtton Point) and finding the Declina- 
tion 22 Degrees in the HeatJ of the Table, in the common 
Angle of Meethig is 8 Hours 41 Minutes, which fubtraft 
from 12 Hours, the Remainder 3 Hours 19 Minutes, is. 
the Hour of the Day required in the^oii&vs^^. 




go Thff Mariner's Cempafs ReSiiJied, 

Bjtjmph 5. The Sun being ENE. in the fame Lititudc 
with the fame Declination j I demand the Hour of the 
Day/ 

In Latitude 60 Dfgrees^ and North Declination 12 De- 
grees, the Sun bdng WNW. it is 54 Minutes paft fix 
o'clock in the Afternoon; which fuhtiai^ from 12 Hours, 
jhe Remainder is 6 Minutes part 5 in the Morning \ the 

Timcdefircd^ 

ExaoipU, In the Latitude 35 Degrees North, the Suti 
I having 15 Degrees Norili Declination ^ and being South 
I Esft by Eaft i I demand the Hour and Minute of the 
I Day? 

In the Table for Latitude 35 Decreet (in Page 59) 
look againd S'-V, by W. (the Afternoon Point) cornsl- 
pondent to SE, by E. (the Forenoon Point.) And the Dct 
clination i5d. at the Head of the Tabic, and in the com- 

K ion Angle of Meeting is ih. 45m, which deduiScd from 
2 Hourii^ the Remainder is 15 Min. pafl 10 o'CIocIl, the 
■ue Time of the Day dcfired. 
ExsmpU 7. In the Latitude 35 Degrees North, the Sua . 
aving 15 Jicgreea South Dcclinatiojj, and being SE.byE. 
I I demand thfc Hour of the Day. 

Jnjwer, ZQ Minutes pall 3 o'clock; for the Hour \n the 
Table is 3 Hours 40 Mijiutes, whii h iubrtia£ted from 14 
Hours, leavethS Hours 20 Minutes the [lour required. 

The like is to be underftood of iny .'tber Latitude, witH^ 
any otKer Declination, and wiih any other Point of the 
Compafs. 

A^ijWj Thefe Tables fervc as welt in 5*tt/AZflr(rW^, as ii 
North Latiiudf-, ihe only Dift'crcnce wil) be this. : 

If the Latitude be contrary, ihen the Declination muft 
be contrary, and the Points of' the Compaf." contrary ; that 
is to ?ay. North Declination muft be counted bouth ; and 
South Declination mult be counted North ; and the South 

Point 






The Mariner's Cempa/s Re^ified, 



1 



» 



Point muft be North ; artdS. by W. muft be N.byW. and 
S.S.W. muft beN.N.W.and S.W.by S. muabcN W.bjr 
N. and fo for any other Point, as in the followingTable. 

A TABLE of Poinis equally diftant from Nooo, 
both in North Latitude and in South Latitude, cither 
before Noon or after Noon. 



North Latitude. 



I 



South Latitude. 



Forenoon, 1 At'ternfjon. 



S. by E. 

S.S. E. 
S. E.by S, 
South Ealt 



S.E. byE. 

E. S. E. 
E. byS, 
Eaft. 



E. bvN. 
E. N. E. 

N. E. bvE. 

Noah Eaft 



S. by VV. 
S.S. W. 

S. W. by S. 

South Welt 



S. W. by W. 
W, S, W. 
W. by S. 

Weft 



Forenoon. 



N. by E. 

N. N E. 
N. E, by N. 
North taft 



N.E. byE. 
E. N. E. 

E. by N. 

Eaft 



W.N. W. 
N, W. by W 
North Weft 



E, by S. 
E. S. E. 
S. E. byE. 
South Kaft 



N. E.by N. 
N. N. E. 
?4,by E. 

Nonh 



N. W. byN 
N.N. W. 
N by W. 
North 



Afiernoon. 



N. by W. 
N. N. W. 
N.W. byN. 
North Weli, 



N. W. by W. 
W. N. W. 
W. by N. 
Weft 



S. E. byE. 
S. S. E. 
S. byE. 

South 



W.by S. 

w. s. w. 

S. w.by W. 
South Weft. 

S. W byS. 
S. S. W* 
S. by W. 
South 



Propofuion 2 Ta yfprf /i*' Hear ef the Night by the Starj^ 

and thi T&bitf ef Sun -Dials. 
■yOU may find the Hour of the Night by rhe Bearing of 
~ any known Star, whofe Deciination doth not exceed 
the Sun's grcatcJl Declination, after thli Manner. 



9* ^If Marioir's. Com^afs Re^fifisd. 

Find the Time of the Star's comiag to the Meridian 
. pn the Day propofed ; then if the Star be on the Eaft Side 
of the Meridian, fubIlra;El the Hours and Minutes which 
thefe Tabks fliews, from the Time of the Star's conjing 
to the Meridian, the Remainder is the Hour of the Night: 
But if the Star be on the Weft S'ide of the Meridian, then, 
add thofe Hours and Minutes abovefaid, to the Time of 
the Star's coining to the Meridian, the Sum is the Hoar of 
the Night. 

To find what Time the Stars come upon or to the Me- 
ridian, fee the Mariner's Calendari in the Ufes of the Ta- 
bles of the Sun's and Stars Right Afcenfion, Pages 5-/, 
58, 59, 60, and 61. 

Example %. Admit the 26th of 05*i«r 1779, in the La- 
titude 40 Degrees North, I obferve the BuWi-Eyt to be 
S.E. I demand the Hour of the Night ? 

The 26th of OiJober, 1 779, the Buffs Eye Cometh on the 
Meridian at 19 Minutqs paft "2 o'Clock in the Morning i 
this Star's Declination is 16 Deg. North, therefore in the 
Table that belongs to 40 Degrees in Page 64, feek in the 
Hea'J of the "Table the Declination of the Star, or neareft 
thereto, and' by the Side, the Point of the Compafs, and 
in the common Angle of Meeting, is ih. 31m. which fub- 
trail from 2h. ifjm. the Star's Southing, the Remainder 
o hours 48 mill, is the Hour of the Night defired. But if 
this Star had born S.W. you muft have added, and then 
jhe Hour would have been 50 min. paft 3 o'Clock in the 
Morning. 

The operation. 

h. ni. 
The Tim5 of the Stars being on the Meridian— — — 2 : 19 
His Diflancc from the Meridian cither atSE. orSW. I : 31 

Th^ime of the Night, the Star being SE. — ■ o : 48 

TJie Time of the Ni^ht, the Star being SW.< 3:5° 

Example 



The Mariner's Cffmpq/s ReSiiJied. 93 

'ExampUq, Admit the i6th Day of ^at>/|»i*«*, in La- 
titude 45 Degrees North; 1 (cetke tyon's Taii vpon the 
ESE. Point of the Compafs, having Declination ijd- Sym, 
North, !■ demand the Hour of the Night. 

7ht Optraiion. 

h. m. 
Tiracof the Star's heing on the Meridian 08 : 10 Mom^ 
His Diflance fiom the Meridian being — 03 : 02 - 

Time of the Night, the Star is E, S. E. 05 : 08 Mom. 

Time when this Star is W.S.W, 11 : 12 Morn. 

■ Notty If the Compafs hath Variation, you muft alhiw 
for the Variation ; but if you will ufe this following In- 
ftrument, which I call the Reftilier, you need not reckon 
which Way the Variarion is, either Kaftward or Weft- 
ward i for this Inftrument will do it fo plain, that you 
cannot be miftaken, as is fliewn in the following Part of 
this Book: But for the prefent I will only give you one 
Propofition, and apply it upon the Refiiiier, which is as 
folioweth : 

Prvpefit'ftt. Admit in Lat. 47 Deg. North, the Sun be- 
ing in one of the EquinoiSial Points, at which Time he 
hath no Declination, I obferve the Sun to rife upon tlie 
E.8.E. Point of the Compafs, I demand Ihe-Variation ? 

■ The Sun having no Declinaticn, in any Latitude, (if 
there be no Variation) the Sfn will rife at Eafl, and fct at 
Weft ; but according to the foregoln^i; Propofition, ihc Sun 
did rifeE.S.E. therefore there are two Pains Variation, as 
will appear by the following Re£lifier. 

7bt Defcription ef tht RECTIFIER. 

'TpHIS Inftrument containeth two Circles or Compafles 

'*' one within the other } but ai it is made of Wood, 'the 

•ne moveth upon the other j fo that the inward, or 



i 



[S The Mariner's Compajs ReSiiJied. 

h. ^itti. 2nd under sod. ocm. you'll find ih. a^m. the 

<lifierence between theft two Numbers is 17111. And the 

difference between the Declination j^d. 30m. and aod. 

is jd. 30m. or 150111. Alfo the difference between the 

. Ueclination i8d. 20m. and i-]6. 30111. is 50m, Then i^y^ 

As r5om. is to 1701. fo ia 50m. to 6m. almoft ; But becaufe 

[ 50 is I of 150, therefore the Third Part of 1701. is near 6m- 

' *hicli fubtracted from rh. 4,2m. (becaufe the Hour de- 

creafeth) and the Remainder ih, 36111, is the true Hour of 

the Day, tbe Sun being upon the W. S W. Point of the 

CompalSj having l8d. 20m* North Declination. 

Do the like with any other Degrees and Minutes of 
Decimation : But if the Declinali^on be not very different 
I from that in the Head of the Table, you need not make any 
Proportion : Likewlfe when the Sun is near the Meridian, 
you need not make any Proportion, tiecaufe there the dif-. 
rerence is but fmall. 

}iett^ There are nouc but the Afiimoon Puinis in the 
■ Tables of thefe Dials, yet you may eafily find the Time of 
the Day for the Foremsn Pointi by wh^it fallows. 

For Pointscqualty dtftantfrom the Meridian, are equal 
Time from Noon, fo that at what fpace oi Time from 
Noon the Sun is S.E. in the Forenoon, the like fpace of 
' Time from Noon he is S.W. Afternoon. 

i As in the Table following, the Points that fland ri^ht 
againft one another, afe etjually diltant from the Meri- 

' dian J therefore to find the Houc of the Day, the Sun 
being upon any of the Forenoon Points ; fee what Time 
of the Dny it is Vhen the Sun h upon the Aftcrjioon Points 
that ftand right againJt the Forenoon Points defired, and 
fubtraft thofe Hours and Minutes from 12 HourSj the Re- 
mainder IS the Hour a;id Minute of tht D^y required. 



A TABLE 




The Mariner* i Cotnp^fs RiSfi^ed, 97 

Therefore thofc Tables arc is iifcfiil in South Latitude as 
in Nortfi Laritmlt: ; if North Declination in thefc Tables 
be counted for South, and South for Nofih. 

Note ^ The Rifing, Setting, and Amplitude of any 

Star (whofe Declinaiian doth not exceed the Sun's gieatett 

Declination) may be found by thefc Tables; provided it's 

Southing, nr Time of the Staf's coming tQ or en the Me- 

- ridian, be known. 

r For the Time of Sun-fecting in ihefe Tables for any La- 
titude^ is 3. Star's half Continuance above the Horijon^ 
having equal Declination, and the fame kind with the Sun 
for the fame Latitude. 
Therefore the half Continuance of a Star above the 
Horizon (found in thele Ta5le6 as before dire^cd) added 
to, and fubtraited from the Time of the Star's coming to 
or on the Meridian ; the firft is. the Star's Setting, and the 
latter it's Riling. 

Examples of this Nature yoK Will find in the Ule of the 
next Tables of Semidiurnal and SemincK^urnUl Arches, to 
*hich you arc referred. 

The Amplitude of a Star by tlie foregoing Tables is 
fbund as the Amplitude of the Sun waSj which is ijiore 
Ailly trcRted on in the Ute of the Table cf Amplitade ia 
Page 14.6. 

Aftronomtc T A B L E S of Semidiurnal aind'Se- 
I minoflurnai Arches: Shewing the true Time 

of rhe Sun's Rifmg aijd Seeing ; with the 
1 Length of the Day and Night, for any Day 

in the Year ; fining all Places in the World, 

where the Pole is not cle^Eited above 60 DegrceSj 
I cither North or South ; and to laft with Ex- 

aitnefs, as long as God upholdcth cbc Cowrf« 

of Nature, 
t Q 



1 1 



^ The Manuals Compaji ReSified, 

And ifyou Yubflrafl the Sun^s Setting from la Hours, it 
gives its Riluig. 

Examplt \o. Latitude 50 Degrees North, Sun's Decli- 
" nation 20 Degrees North, I demand his Rifing, Setting, 
and his Amplitude. 

In the Table ^,i«PDtr|rees (in Page 74.) feek the De- 
clination 20 Degrees North at the Head of the Tahle, un- 
der which,' and right againft Q.ftt is 7.43, which fheweth 
the Sun fetteth at 43 Minutes -after '7 in the Afternoon j 
whfch fubtraft from lah. the Remainder 4h. t7m. is his 
Rifing. 

In like Manner under the Sun's Declination aod. and 
againft Sun's Amp. is 32d. -8m. the Sun's Amplitude ; that 
is, Eaft Northerly at his Rifing, hut Weft' Northerly at 
bis Setting. ■ «, 

Note 1. The Amplitude is always of the fame Name 
with the Declination, for that Rcafon the Amplitude is 
fet onlv for North Declination, being the fame in Qi^iantity 
for S'outh Declination, only in Quality it ij the contrary. 

Nete 2. The Sun's Rifing for North Declination, is the 
Setting for South Declination : For that Rcafon, the Ta- 
blq hath only © fet^ both for North and South Declina- 
tion : Yet they fcrve for both Rifing and Setting, by look- 
ing contrary to the given Declination. 

Wherefore to find the Sun's Rifing when he hath North 
Declination, look under South Declination ; and when 
he hath South Declination (to And hi& Rifing] look under 
North Declination. 

, Note ^. In South Latitude with South Declination, 
^Ifo in South Latitude with North Declination, the Sun's 
Rifing and Setting is the fame as in North Latitude with 
J^orth Z>ecJinalion, as alfo in North Latitude with South 
^eclinktion, '1 here 



w 



7be Mariner*! Cmpafs Rs^ijied. 



^ 



Therefore thofe Tables are as iifefuJ In South Latitude as ! 
in North Latitmlej if North Declination in thcfe Tables ' 
be counted for South, and South for North. 

Note 4, The Rifing, Setting, and Amplitude of any 
tar (whofe Declination doth not exceed (he Sun's gietteft 
Declination) n:)riy be found by thefe Tables ; provided it's 
Southing, or Time of the Star's coming to or on the Me- | 
_fidian, be known. ' 

For the Time of Sun-felting in thefe Tables for any La- 
titude, is 2 Star'3 "half Continuance above the Horizon, 
laving equal Declination, and the fame Icind with the Sun I 
'fbr the Time Latitude. 

Therefore the half Continuance of a Star above the 
lorizon [found in thefe TaBlcs as before direfled) added 
J, and fubtra'Sled from the Time of the Star's coming to 
}r on the Meridian; the firft i6 the Star's Setting, and the 
itter it*s Rifing. , 

Examples ot this Nature yon will find in the XJfc of the 

lext Tables of Semidiurnal and SeminodurnU Arches^ ^d 

/hicK you are referred. ^H 

The Amplitude of a Star by the foregoing Tables I^" 

fbundas the Ampilitude of the Sun was, which is more ' 

Vully treated on tn the Ufe of the Table of Amplitude i^ 

''age 146, 



lA 



♦♦4 »****-^-*-$-*-^+4"fr'^*5 **+♦-♦ 



Aftronomic T A B L E S of Semidiurnal antl*Se- 
minoflurn&l Arches : Shewing the true Time 
of the Sun's Rifing arjd Setting; with the 
Length of the Day and Night, for any Day 
in the Year; fitting all Places in the World, 
where the Pole U not elevated above 60 Degrees, 
cither North or South j and to laft with Ex- 
a^nefs, as long as God upholdeth tbc Courfe 
flf NitufC, 









89 Tib£ Mariner's 


Compafs Re3ijied. 




i 


A T A B L E Oicwing the 


Semidiurnal Arch, or Timt- 




of Sun-fetdng, when the Sui; hath North Decl 


ina- 


;) 




tion J and the S«mlno£liirnaI Arch, or Time of J 


aii' 


1 




nCing, when the Sua ha 


ih South Declination. 


1 


^ 


The Degrees of Latiiude. 


f 




J 


3 


J 


+ 


! 


6 


H M 


H M 


H 


M 


H M 


H M 


H 


M 







06 00 


o& 00 


06 


OD 


06 00 


06 Of! 


d6 


00 






1 


06 OQ 


o& 00 


06 


o:j 


06 00 
06 o^l 


06 00 


c6 


00 






2 


q5 00 


06 00 


□6 


□0 


06 01 


c6 


01 






3 


06 00 


06 cc 


□6 


01 


06 01 


06 01 


06 


01 






4 
5 


06 00 


cfi OCJ 


06 


01 


06 01 


06 01 


06 


oz 




d6 00 


06 00 


06 


Of 


06 01 


06 02 


06 


02 




6 


06 00 


06 01 


c6 


0: 


06 01 


06 01 


06 


01 






7 


06 00 


06 01 


06 


01 


cC 02 


06 o; 


r.6 


0^ 






8 


06 00 


06 O) 


06 


02 


06 02 


06 03 


c6 


Ol 






1 9 


0& 01 


6 0] 


q6 


01 


06 03 


06 03 


06 


04 


1 


^K 


*^ 11 


06 ol 


06 01 


06 


D2 


06 03 


06 04 


06 


1l 


^^^1 
^^^^1 


06 01 


06 01 


06 


01 


06 03 


06 04 


06 


0?^ 




diz 


06 <;I 


06 02 


06 


OX 


06 03 


06 04 


06 


On 








&.M 


06 01 


06 02 


06 


0^ 


06 04 


06 05 


06 


06 








S u 


cd 01 


C(S 02 


06 


03 


06 04 
06 04 


06 05 


06 


c6 




b 


06 01 


06 02 


06 


01 


oS 05 


:6 


06 




16 


06 01 


06 2 


06 


01 


06 0; 


06 06 


g6 


07 






'7 


q6 01 


06 02 


06 


04 


06 05 


06 06 


06 


07 






18 


06 01 


06 03 


06 


04 


06 05 


6 07 


06 


08 






«■ 


19 


06 01 


06 03 
06 03 


06 


04 


06 05 


o& 07 


06 


08 




zo 


06 0) 


06 


04 


06 06 


06 07 


06 


00 




ai 


d6 01 


06 0^ 


06 


oi; 


06 06 


06 08 


06 


09 




^V / isjoff oj\Qb 03 


q6 


0^ 


06 06 


06 08 


06 


■ 




f / ^J I06 02/06 ^ 


06 


05\a6 D':\n^ ^1^ 


loS 


lo 




b / ''J- '9 h 


5 02 J c6 04. 


06 


o^yob ci- 


\cib ^q\tfc 


%^ 




ta 


^ 








_^ 


IJ 


■ 



F 


^^^ 




m 


1 


rz 


f Mariner's Coaipa/s ReJTrfecf. 99 




1 


^ TABLE (hewing the Semidiurnal Arch^ or Time 




^0 of Sun- fitting, when tbe Sun bath North Uccliita- 




tioii ; an 


d. [he Semino£lurnal Arch, or Time of Sun- 




1 


1 nfingj when the Sun hsth South Declinatjoti. 




1 


The Degrees of Latitude. 






y 


s 


4 


10 


1 1 
H M 


IZ 




H 


M 


H M 


H M 






o 


at> 


y. 


06 OQ 


00 00 


06 01 


06 00 


06 00 




1 


I 


o6 


00, 


06 D3 


06 01 


06 Op 


06 01 


06 01 




■ ^ 


o6 


01 


06 C( 


06 01 


06 01 


0*5 03 


c6 02 




■ 


36 


Dl 


::6 Oi 


q6 oj 


0$ 3 


06 02 


o5 03 




i-- 

5 


o5 


02 


06 OX 


o3 02 


tS 03 


q6 03 


06 04 




c6 


02 


06 C3 


06 Oj 


06 04 


06 c>4 


06 04 




^ 6 


c6 


01 


t6 03 


06 0,) 


06 04 


06 Qj 


06 05 




■ 


o6 


01 


06 04 


ofi 04 


c6 05 


j6 pj; 


06 06 




■ ? ^ 


-6 


C4 


06 04 


a6 05 


06 06 


06 c6 


06 07 






o6 


04 


06 05 


6 


a6 06 


06 07 


06 08 




o6 


o^ 


06 c6 


06 06 


06 07 


06 oS 


06 Og 




taii^ " 


o6 


o'; 


06 oC 


06 07 


c6 08 


c6 C9 


06 05 




■ P? i> 


o6 


06 


06 c? 


06 oS 


06 eg 


a6 eg 


06 10 




^^ 


^. M 


o6 


06 


c6 C7 


06 oS 


06 09 


06 to 


06 11 








o6 


07 


06 0^ 


06 og 
06 10 


06 10 


06 II 


06 13 




o6 


oH 


06 C9 


06 1 1 


06 [2 


06 IJ 




^L .6 


o6 


o3 


ofl oy 


o5 10 


(Ofi IZ. 


06 13 


c6 14 


t 
\ 


■ '7 


o6 


oy 


06 IC 


0^ 11 


06 12 


cO 14 


0& IJ 




■ i3 


o6 


Oq 


06 III 


o& 1 2 


c6 13 


06 14 


06 16 




■ " 


o6 


ID 


06 II 


o& 13 


d6 t4 


06 15 


06 17 




■ '^ 


o6 


10 


06 IZ 


06 14 


06 15 


06 16 


06 i9 


i 


H '' 


oS 


1 1 


06 I J 


0!S 14 


06 16 


\o6 17 


06 iq 


. 


■ j> 


o6 


1 I 


q6 13 


06 1 5 


<i^ i6 


\qb x'iX'iV O.'sV 


H '3 


o6 


"i 


06 t4 


06 is\q^ 17 \^ ^^V-afo T-^\ 


^M*s-'9 J 


a(S 


12106 J+^ 


06 i6\o6 »-i\ofe - 


^'A^. 


3 



^^■j 




^^^H 


^^^^^^^^v 
^^^^^m 


lOO The Mariner's 


Compcfs Re£!i^sd. 


A T A B L E ftiewing the 


Semidiurnal Arch, or Time 


H . 


of Sun-fetcing, when the Sjjn ha,th North Declina- - 


H 


tion ; and the Seminodturnal Arch, or Time of Sun- 




riftng, when the Sun h^th South Decimation. mM 


The Degrees of Latitude. 




13 


H 


'5 


■ 6 


17 


]8 


til M 
o6 oo 


H M 
o5 00 


H 


M 


(i M 


H M 

06 00 


H M 

06 00 


o 


06 


tjn 


06 00 


^1 


I 


o6 oi 


06 01 


06 


01 


06 OL 


06 01 


06 01 


^^ 


3 


o6 C2 


06 03 


06 


01 


06 PZ 


06 02 


06 02 


^1 


J 


o6 03 


06 03 


06 


O^ 


06 01 


06 04 


06 04 


^^^m 


4 
5 


06 04, 


06 04 


06 


c4 


06 05 


06 05 


06 05. 


06 Of 


06 05 


06 


OS 


06 06 


06 05 


56 06 


^H 


6 


c6 06 


06 06 


c6 


c6 


06 C7 


06 C>7 


i:>6 08 


^1 


7' 


q6 06 


06 07 


06 


07 


o£ 08 


06 CO 


06 C9 


^^__ 


O 8 


06 07 


06 oH 


c6 


Oq 


06 09 


c6 10 


c6 10 


■^ 


V 9 

n ^^^ 


06 oS 
06 C9 


06 09 


ofi 


10 


d6 ic 


0^ n 


06 12 


06 10 


06 


11 


06 IZ 


06 t2 


06 13 


^^^H 


£> M 


06 to 


06 ir 


06 


It 


ofi 13 


ofi rj 


06 14 


^^^^^^^Kt 


S? i^' 


06 It 


06 IS 


06 


M 


06 14 


06 I; 


06 16 


^^^H 


£■ '3 


06 ij 


06 1} 


06 


H 


06 15 


06 16 


°^ 'J^d 


^^■' 


E '4 

p 


06 1 j 


06 14 


06 


»S 


od 16 


06 17 


06 -.H 


^f 


o 


06 14^ 


06 15 


06 


16 


06 1? 


06 19 


06 20 


^B 


l6 


06 15 


06 16 


e6 


i3 


06 [9 


06 so 


0& £1 


^H 


'7' 


06 16 


06 17 


06 


"<) 


06 2C 


06 21 


c6 x: 


^H 


iS 


06 '7 


06 19 


od 


10 


06 21 


06 24 


06 24 
06 z6 


1 ' 


J9 

20 


06 ]8 


06 zo 


06 


21 


06 23 


06 24 


06^19 


06 11 


06 


22 


06 24 


06 25 


06 37 


/ ^'j 


06 20 


e6 22 


ofi 


24 


06 ly 


06 17 


06 29 


/ xsfo6 XI 1 


tx$ sr 


06 


»s' 


Ofi 27 


06 2g 


oS 30 


/ '31°^ ^tl66 14 


,06 


z6 


06 lA^^ ^'^W^ \^V ' 


^^^gVI^fo 


tf ^ifeS aj 


06 


17 \ 06 11 


jXtab ■i\\a& ■5,-^>^ J 


^^■^■^ 


^^ - 


— -^ — , 


., - 









■■ 


m -^ 


^^H 


1 

1 

1 

1 

k: 


The Mariner's Compafs Reiii^ed. loi 


1 

i 


A TABLE Shewing the Semidiurnal Arch, or Time 

of Sun-fetiing, whea the Sun hath North Declina- 
tion i and (he SerainofVurnal Arch, cr Tioie of Sun- 
riUng, when the Sun hath South Declination. 


The Degrees of Latitude. 




J9 


30 


21 


22 


23 


z+ 


H M 


H M 


H M 


H M 

06 00 
06 02 
06 03 
o& 05 
06 06 


H M 

06 00 

06 03 
06 03 

06 05 

06 07 


H M 

06 00 
06 03 

o& 03 
06 05 
t<6 07 



I 

z 
3 
4 

5 
6 

7 
a 8 

fB 

o '° 

S H 

P M 
i5 

'7 
l8 

19 


06 CO 

06 01 

06 03 

0& P; 


06 00 

06 Dl 

06 03 
06 04 
06 06 


>3& 00 
06 01 
q6 03 
06 05 

06 Q'O 


06 07 
06 08 
06 to 
q6 1 1 
06 15 


06 07 
06 09 

06 tz 


05 08 

06 11 

06 12 

d6 14 


06 oi 

06 lO 

06 II 

05 13 

06 15 


0& 09 
06 to 
^6 12 
06 14 
c6 1 J 


06 05 
06 II 
06 13' 
06 14 
06 16 


06 14 
06 15 

06 r? 
06 iS 

06 20 


06 16 

o& 18 
□6 19 
□6 11 


d6 16 

06 17 
06 Ig 

q6 20 

06 2 2 


06 i& 

06 18 
d6 20 
0$ ZI 

06 23 


on 17 
06 ip 

oG 21 
06 23 

06 24 


06 18 

06 20 
06 ZZ 
06 X4 

06 2^ 


d6 21 
06 23 
06 24 

06 26 

06 27 


06 ZJ 
06 24, 
06 25 
06 27 

06 29 


06 2^ 
06 25 
06 27 
06 29 
06 30 


06 2^ 

06 27 
□6 zS 
c^ 30 
06 32 


06 z6 
06 z8 
06 30 

06 J2 

06 34 


06 t7 
06 Z9 
06 3 1 
06 33 

06 3 J 


3Q 
21 

23 


c6 2S 
06 30 
06 31 
06 33 
°^ 34. 


06 30 
06 31 
06 33 

06 3s 
06 56' 


06 32 
06 34 
06 35 

06 j7 
06 38 


06 34 

06 36 
06 37 

\o6 V 


06 37 
06 39 


06 37 
□6 39 
06 41 




_j^_ 


^ 



,- ' 

102 Tbi Mariner's 


Compafs ReHiJied. 




A T A B L E fliewmg the 


ScrtiiiJiurnal Arch, or Time 


of Siiii' retting, when ih 


e Sun hath North Dcclina- 




tion ; and the Seniinqitij 
rifing» when the Sun ha 


11 ill 


Arch, crTimc ol Sun- 
3uth Declination. ■ 


i 


h S 


The Degrees of 


Laticud 


e. 








*5 


26 


2 

IF 

06 


7 
M 
00 


If I 


9 


3° 


i£ M 

q6 on 


H M 

g6 oj 


H M 


H 


M 


H M 


c 


06 


00 


D& 00 


1 


06 01 


06 oz 


06 


a 


06 01 


06 


Oi 


06 OJ 




2 


1^6 04 


c:i6 04. 


06 


04 


06 Ol 


06 


C4 


c6 05 




3 


o£ 06 


06 06 


06 


06 


06 06 


06 


07 


06 07 




i 


06 07 


06 08 


06 


oS 


c6 09 


06 


09 


a6 og 




s 


06 C9 


06 10 


06 


JO 


q6 1 1 


06 


11 


06 II 


6 


oS 1 1 


06 jz 


06 


f2 


06 1 J 


o5 


n 


e6 14 




7 


06 13 


06 14 


06 


If 


06 15 


06 


16 


06 16 




?'8 


o5 I; 


06 j6 


06 


16 


06 17 


06 


13 


06 19 




03 9 

a — 


06 \-} 


06 18 


06 


19 


06 19 


06 


10 


06 21 




06 19 


06 zo 


06 


ZI 


06 ZI 


06 


21 


06 23 




06 ZI 


06 Z2 


06 


^\ 


06 24 


06 


2^ 


06 26 




06 23 


06 24 


06 


Z( 


06 26 


06 


27 


06 zS* 




3^J3 


06 SJ 


a6 z6 


06 


V 


06 aB 


06 


39 


od 31 




g.'4 

— 

■ '5 


06 Z7 


06 k8 


06 


«9 


06 30 


06 


32 


06 33 
c6 36 




06 29 


06 30 


06 


?• 


o& 33 


06 


3 + 


16 


06 31 


06 32 


06 


34 


06 35 


06 


37 


06 j8 




'7 


06 33 


06 34 


06 


36 


oG 37 


06 


39 


d6 41 




IS 


06 3; 


06 36 


06 


38 


06 40 


ob 


42 


06 43 




i9 
20 


06 37 


q6 39 


06 


4« 


06 42 


06 


+4 


g6 46 




06 39 


06 41 


06 


41 


06 45 


06 


47 


06 4S 


Zl 


06 41 


06 43 


06 


4? 


06 47 


a6 


49 


06 51 




32 


06 41 


06 45 


06 


4E 


06 50 


06 


51 


06 54! 




06 48 


06 


SO 


06 ;z|o6 


54 06 57 1 


06 49 


|e6 


^i\ot> ^l\o.& 


^slo6 a 


U 



1 

1 

1 


1 / f---. 


^^H 


7l&a Mariner's Compafs ReSiifiu 


/ r^r^ 




i. 103 


A T A B L E fliewing the Semidiurnal Ar»h, or Time 
of Sun-retting, when the Sun h«h North Dcclina' 
tion i aiid the Scminofturnsil Arch, or Time of Sun- 
riAng, when the Sun-hath South Declination. 


1 


1 

• 1 

1 


The Degrees of Latiimle. 




1 

a. 
3 
4 

S 
6 

7 
O 8 

"^ 9 

Ul- 

o 'o 

-I ,, 

^■^ 

=-.■3 



P IS 

16 

»7 

|8 

19 


3' 


32 


3! 


34 


35 j6 


H M 


ri M 


H M 


H M 


H M 


H M 


06 OD 
06 01 

06 07 

-6 10 

06 i: 
06 15 

06 17 
o& 19 
06 22 


c6 00 
06 01 
06 0; 
06 uB 
06 IC 


o& 00 
06 03 
J36 05 

06 o4 

□6 10 


06 00 
06 03 
06 o; 
06 cS 
06 J 1 


06 oo 
06 03 
06 06 
06 c8 
06 1 1 


06 00 
06 03 
06 06 
06 09 

q6 12 


c6 \-s, 
06 ij 

06 18 

off SO 
06 Zj 


06 13 
o5 16 
q6 i3 
d6 31 

qS 24 


06 14 
06 16 
06 19 

06 Z2 
06 25 


06 14 
q6 17 
c6 ao 
06 23 
06 25 


06 15 
06 iS 

06 20 
06 >3 
06 a8 


1 

* 

ri 


06 24 
06 37 
06 29 
t?6 32 
06 34 

06 37 
06 43 
06 42 
06 45 
06 4-i 


06 25 
06 18 

06 31 

06 36 


□6 26 
06 J9 
06 33 

06 34 
06 37 


06 a? 
06 30 
06 33 
06 36 
06 3y 


06 z8 

05 31 

06 34 
06 37 
06 4a 


06 39 
06 32 
06 36 

05 39 

06 42 


06 39 

06 41 
06 44 
06 47 
ofl 50 


e6 40 
06 43 
06 4fi 
06 4j 
06 ^2 


06 42 

06 as 

06 s' 

r>6 S4 


3^ 43 
j6 45 

05 49 

06 S3 
06 56 


06 45 
<?6 4a 

06 5s 
o6 s^ 




1 

"1 


ZQ 
21 
12 

23 
Z3.29 


06 51 
06 S3 
c6 56 

06 59 

07 01/ 


06 S3 
)6 06 
j6 08 

07 01 
07 03 

— . — -. », 


06 ss 

..6 5S 

07 a I 
07 04 
07 06 


06 57 

07 00 

07 03 

07 06 


06 59 

07 Oi 
07 06 

VoT OS 


07 01 
07 05 

07 08 

Y^i "^^ 






The Marifier*s Compafs Reiiijiecf. 



And if you fubftrafi ihe Sun*i Setting from 12 Hours,; 
gives lEs KJfuig- 

ExsmpU 10. Latitude 50 Degrees North, Sun's DecUJ 
nation 20 Drgrcfs Noith, I demand hia Rtfing, Setting? 
and his Amplitude. 



In the Table {jjur^ji^Df^rces (in Page 74) feek the De-s, 
cHnaiion 20 Ofgrfcs Nocth af the Head of the Tuble, un- 
der whichj and right agalnft O ft' is 7-43, which fheweth 
the Sun fetieth at 43 Minutes after f \n the Afternoon 
which fubtra^ from lah.. the Remainder 4h. r7in. is hij 
Rifin^. 



n 



In like Manner under the Sun*s Declination 2od. and 
againft Sun's Amp. is jzd-'Sm. the Sun's Amplityde ; that 
is, Eaft Northerly at his Rifiiig, but Weft Northerly at 
is Setting. ■ •> 



Nott I. The Amplitude is always of the iUmc Name 
with the Declination, for that Reafon the Amplicude is 
fet onlv for North Oeclinarior, heini; the fame in Q^iantiiy 
for South Declination, only in Qualiiy it ii the coHirary., 

Note 2. The Sim's Rtfing for North Declination, is the 

■Jetting for South J^eclinaiipii : For that Rfafon, the 1 a-- 

W^ hath only fet^ both for North and South Dcclina- 

jtipn ; Yet they RrvL- for both Rifing and Setting, bj- look- 

^^ contrary to the given Declination. ' 

Wherefore to find the Sun's Rifing when he hath North 
Declination, lobk under South Declinaiion ; and when 
he hath South Decimation (tp iiiid hia Rifmg} look undtr 
NoTth Declinaiion. 

[ Note %. In Souih Latitude with South Declination, 

I,*, , ?!(b in South Latiiude with North Declination, the Sun'i 
Rifidg and Setting is the fame as in North Latitude with 
IVortfi /Jc-ymsticij, a§ alfoin No:th Latitude with South 



w 



The Mariner's Compafs R/^sJed, 97 






k 



of Nature. 



Thewfore thofc Tables are as Mftful in South Latitude as 
in North Latiithle-, if North DccHnation hi tfarfe Tables 
counted for South, and South for North. 
Note 4^ The Rifinp, Sttcing, and Amplitude of any 
itar (whofc Declination doth not rxcced the Sun's greatcrb 
Declination] m^f be found by thcfe Tables i provided it's 
Southing, or Time of the Star's coming to or on the Me- 
ridian, he known. 

For the Timeof Sun-fctting in thefe Tables for any La- 
titude, is a Star's half Continu2nce above the Horizon, 
having equal Dcctination> and the fame kind with the Sun 
for [he fame Latitude. 

Therefore the half Continuance of a Star above the 
lorizon (found in thefe TaBles as before dir^fled) added 
), and fubtra>Sled from the Time of ihe Star's coming to 
or on the Meridian ; (he Hrft is the Star's Setting, and the 
^—Jatter it's Rifing. 

^H Examples at this Nature yoii wiU find in the Ufe of the i 
^H«xt Tables of Semidiurnal and Sfininodurn^l ArcheSi to 
^IP'hich you arc referred. 

P The Amplitude of a Star by the foregoing Tables is j 
I found as the AmptitiEde af tfie Sun was, which is qiore 
fully treated on in the Ufc of tb? TaWt of AmpUutde ija 
^agci46. ^ 



Aftronomic TABLES of Semidiurnal imi'Sc- | 

minoflurnal Arches : Shewing the true Time 

of the Sun's Rifing aijd Set(ing ; with the 

Length of the Day and Night> for any Day 

in the Year; fitting all Places in the World, . 

where the Pole \s not elevated above 6a DegreeSj 

cither North or South; and to laft with Ex- ^ 

aiEtnefs, as long as God upholdeth ihc Courfe 



G 



^^^ 




m 


1 


89 The Mariner's Compaji ReSified. 


1 

< 

1 


A T A B If E fhewing tlic Semidiurit*! Arch, or Time 


H 


of Sun-feiiiiig, 


when the Slid hach North Declitia- 




H 


ttoil; and the Scminoiflurnal Arch, or Time of Sdii- 






tifing, when the 


Sun hath South Declination. 


1 

1 


The 


Degrees of LatituJe. 


0^ 

^1 H 


.1 


- 


3 


4 


f 


6 


H M 


H 


M 


H M 


H M 


H M 


H M 


^H 





06 00 


■06 


00 


06 00 


o5 CO 


06 OP 


(.6 00 


f 


^H 


1 


06 00 


06 


00 


06 03 


06 OOj 


06 00 


06 00 




^1 


2 


06 oc 


06 


00 


06 00 


06 oc! 


06 01 


06 01 




^H 


3 


06 00 


06 


CO 


06 01 


06 01 


06 o« 


06 01 




1 


4 
5 


06 00 


c6 


OC 


06 01 


o6 01 


06 01 


06 0? 




06 00 


06 


oc 


06 01 


06 01 


06 02 


06 01 


^H 


6 


06 00 


06 


01 


06 01 


06 02 


06 o: 


06 03 




^H 


7 


06 00 


06 


CI 


06 01 


c6 02 


06 Oi 


■-:6 C3 




^B 


8 


06 00 


o& 


01 


06 O! 


o5 D2 


oG 03 


c6 03 




H 




06 01 


6 


IM 


06 0? 


06 03 


06 03 


06 04 




H 


Rv II 


06 01 


06 


01 


06 01 


0& 03 


06 04 


06 04' 




^1 


06 01 


06 


01 


q6 02 


06 03 


06 04 


06 05 




^H 


S* " 


06 Qt 


c6 


02 


06 t>z 


06 03 


06 04 


06 0^ 




^Lw 


& »3 


c& 01 


06 


01 


06 03 


06 04 


&6 0; 


06 ot 








06 01 


c6 


oa 


06 03 


06 04 


06 0; 


06 c6 




^^^1 


P 'S 


06 01 


06 


07 


06 03 


06 04 


06 o; 


c6 06 




^H 


16 


06 01 


06 


OS 


06 03 


06 0; 


06 06 


c6 07 


■ 


^■, 


'7 


06 01 


06 


01 


06 04 


06 O5 


06 06 


06 07 




^B 


iS 


06 01 


o& 


OH 


06 Ot| 


06 05 


6 07 


06 08 




■ 


»9 


06 01 


06 


03 


06 04 


06 05 


06 07 


06 08 




20 


&& 01 


c6 


o^ 


06 04 


06 06 


06 07 


06 eg 


H 


21 


06 oz 


06 


0^ 


06 05 


06 0(1 


06 08 


06 09 




^M / X2l06 02 


06 


03 


q6 0^ 


off 06 


06 08 


06 10 




[ / ^3*06 02\o6 


03I06 o^Qb o-i\(^ft 0^ 


lc6 to 




^/j 


S-»9 fo6 02/ 06 


04! 06 o^\ob fi 


|\Cib C(5\Qt wvJ 


^^^M 


^_ 


■ 




1 


■ 



■ 




^^ ^^^^" 


^ 


1 


7j6# Marine's C^mpajs RiEJifitd. 99 


J 


1 


ft TABLE ftie^v 


tng the Semidiurnal Arch^tir Time 


^H| of Su-n-fecting, when tbe Sun hath North UedJna- 


1 


^H tion ; and the 5emino£tu:mal Arch, or Time of Sun- 


■ 


1 


rifing, when the Sun hath South DccIinaEioo, 




P 


The Degree? of Latitude. 


^ 


og* 1 


7 


B 


■5 


10 


1 1 


12 


■ ^^^ 


H M 


H 

g6 


M 
00 


H M 




H M 
06 00 


H M 
q6 do 


1 


■ 





OtJ u- , 


00 00 


■ 


1 


06 00, 


c6 


0^ 


06 CI 


06 01 


<:>(! OJ 


06 Dt 




■ 


2 


06 01 


06 


01 


06 01 


Q& CI 


oS 03 


06 02 




■ 


3 


36 01 


c6 


Oi 


06 02 


oS CI? 


06 02 


06 03 




■ 


4 


o5 02 


06 


Cl 


o5 oi 


c6 03 


06 03, 


q6 04 




■ . 


:6 02 


c6 


1^3 


06 03 


06 04 


06 04 


06 04 


H ^ 


c6 03 


cb 


03 


016 O-f 


06 04 


o5 05 


06 0; 


1 


■ 


06 03 


ab 


04 


06 04 


C'6 05 


^6 c^ 


06 06 


J 


■ ? ^ 


■--6 c^ 


06 


04 


q6 0^ 


06 06 


c6 06 


06 07 


^ 




06 04 


06 


05 


6 <::>■■? 


06 06 


06 07 
06 oS 


06 08 


1 


06 0^ 


06 


c6 


ot> 06 


06 07 


06 09 


■! -.. 


06 01; 


06 


c6 


06 07 


06 08 


q6 cp 


06 09 


^ 




V " 


06 06 


06 


cr 


q6 ofi 


06 C9 


06 C9 


06 10 


J 




% n 


06 06 


c6 


^^7 


06 08 


06 ogi 


06 10 


06 II 


^ 




? IS 


06 07 


06 


0^ 


of) 09 

06 10 


06 10 


c6 11 


06 12 


1 


06 0% 


06 


CQ 


06 ] 1 


06 12 


06 13 


■1 '^ 


06 o3 


06 


OiJ 


o5 1.0 


fid \2 


06 13 


c6 14 


' ■ 


■ '7 


06 09 


06 


IC 


o5 11 


06 12 


c6 14 


06 15 


■ 


■ '^ 


06 09 


06 


10 


06 r? 


c6 13 


06 14 


1^6 16 


\ 


w 


'9 


06 10 


06 


n 


o5 )3 


o5 14 


06 I J 


06 17 


A 


u 


10 


q6 id 


06 


IZ 


o& 14 


06 15 


06 16 


o& 18 


■ '' 


oS 1 1 


06 


12 


oS 14 


q6 16 


06 17 


06 10 


L 


V " 


a(S 11 


a6 


n 


06 15 


06 %6\ob xlX-ib ii^X J 


L '5 


o& 12 


c6 


J4 


0* i5\o6 it\<A A^Vifo ^^\vi 


L 


'S-^9 h^ 12 106 


'+ 


06 i6\o6 i7\(A ^^X* 


J3|3 


■ 


L. ■- ■ 


^^ - - 


■^^* 









q 


^^^^^^v 

^^^^^■1 


1 00 The Mariner's Contpafs RsBijied. 


1 


A T A B L E (hewing the Semidiurnal Arch, or Time 


^^^1 


of Sun-feltingj 


when the S.un ha,th North Declina- 




^H 


tionj and theSeminofilurnal Arch, or Time of Sun- 




^^B 


rifiiig, when the 


Sua haLh South Declination. 




The 


Degrees of Latitude. 




'3 


'4 


'S- 


I& 


t? 


iS 


ri M, 


H 


M 


H M 


H M 


H M 


H M 







06 00 


06 


oc 


06 00 


06 00 


06 00 


c6 OB 






r 


06 Oi 


06 


01 


06 01 


06 01 


06 01 


06 01 






z 


06 02 


06 


02 


06 02 


06 02 


06 02 


06 02 






3 


06^ 03 


66 


0^ 


06 03 


06 OJ 


06 04 


06 Q4, 






4 

5' 


06 04 


06 


04 


06 04 


06 05 


06 05 


06 05. 




c6 0; 


06 


Di; 


□6 0; 


06 06 


06 06 


06 06 




6 


06 06 


06 


□6 


06 C'6 


06 07 


06 07 


c6 oS 






7' 


06 06 


06 


07 


06 07 


o£ 08 


ofi CO 


06 09 






b 8' 


06 07 


06 


08 


06 09 


06 09 


06 10 


c6 10 






w 9 

n. ^^ 
3 '° 


06 oE 
06 C9 


06 


op 


□6 10 


06 ID 


c6 11 


06 12 




o5 


10 


06 11 


06 13 


06 li 


06 13 




•n 1 1 


06 10 


o5 


11 


06 11 


06 13 


06 13 


06 I+, 




^^^^^^H 


a iz 


06 II 


06 


iz 


06 13 


oS 14 


06 I; 


06 16 






l-M 


o& \t 


06 


M 


06 14 


06 15 


06 16 


06 \f 






i H 


» IS 


06 13 


oS 


*4 


06 ij 


06 16 


06 17 


06 ■ ip 




06 14 


06 


M 


06 16 


06 IS 


06 19 


06 20 




16 


06 15 


o(i 


16 


06 18 


ctf 19 


oS 20 


o( XI 






•7 


06 16. 


06 


I? 


06 19 


06 2C 


06 21 


oS 12 






i£ 


06 1 7 


06 


i() 


06 20 


06 31 


06 14 


06 24 




^^^^P^' 


'9 


06 18 


06 


20 


06 21 


□6 23 


06 24 


06 26 




20 


o6~' 19 


06 


21 


06 2 a 


06 24 


06 z; 


06 27 


■ / ^'i 


06 20 


e5 


21 


06 24 


06 25 


06 47 


06 >9 


i 


^M 1 X2lo6 21 J 


oi 


»3 


06 2^ 


06 27 


06 2^ 


q6 30 


L / '3106 :tzlo6 


j4\o6 ifi\o6 i?.V» -i^i 
z?!o6 i^\tA i"3V^ "^^ 




■ 
1 


^_I '? '9P^ 23/06 


i 

dq 



F 


m 


■ 




-fl 


^■1 




The Man 


ufr'j Compafs ReStjud. 10 1 


« 


h 


A TABLE fcewingthe Seroidrurnal Arch, or Time 


^1 °^ Sun-fetting, when the Sun hath North Dcclina- 


^ 


^1 tlcin i and the ScminoilLjrnal Arch, or Time of S 


un- 




1 


rifing^ when the Sun hath South Dtclination. 




1 


The Degrees of Latitude, 


D. - 


'9 


20 


2t 


12 


23 

H M 


2 


+ 


H M 


H 


M 


H M 


H M 
06 00 


H 
06' 


M 
00 


o 


□6 CO- 


06 


00 


ofi o& 


06 00 


■ 


1 


06 01 


06 


01 


06 01 


06 02 


06 C2 


06 


02 




■ 


2 


o5 03 


06 


03 


06 03 


06 OJ 


06 03 


06 


03 




■ 


3 


06 04 


Ob 


04 


06 05 


06 ^5 


06 05 


06 


Oi, 




1 


4 


06 05 


Ob 


o& 


06 QD 


06 06 


<:6 07 


06 


07 




! 


06 07 


06 


07 


06 oS 


d6 08 


06 09 


06 


oq 


■ 


6 


06 08 


o& 


0« 


06 09 


06 10 


043 ID 


06 


ti 




■ 


? 


06 10 


06 


IC 


06 1) 


06 1 [ 


^6 12 


06 


■1 




■ ' 


13 8 


06 11 


06 


12 


06 12 


o5 13 


ofi [4 


06 


'4 




1 


** - 

" '0 


06 13 


06 


14 


06 14 


06 15 


C& l{ 


06 


16 


1 


06 14 


gC 


IS 


36 16 


06 16 


00 17 


06 


i« 


■ ' 


•n II 


06 15 


06 


16 


06 17 


06 18 


06 19 


06 


zo 


■ 


■ 


? IS 


06 17 


06 


18 


06 (g 


06 zo 


06 ?I 


o& 


32 


■ 


■> 


2. 13 


g6 ]B 


06 


'9 


06 20 


06 21 


06 23 


06 


>4 


■ 


P- 




06 20 


a6 


2i 


06 23 


06 *3 


c6 24 


06 


»S 


1 


06 21 


06 


XI 


06 2^ 


06 2J 


oG 26 


o5 


27 




16 


06 23 


06 


M 


06 25 


06 27 


06 28 


36 


i<) 


■ 




^7 


06 14 


06 


^1 


06 27 


06 2S 


06 30 


06 


11 


■ 






iS 


06 £6 


06 


17 


06 29 


c6 30 


06 3a 


06 


n 


^ 


i 


I 


'9 


06 37 


06 


19 


06 30 


06 )2 


06 34 


06 


3t 


4 


20 


06 iS 


06 


10 


06 JZ 


06 J4 


06 36 


06 


17 


r 


Zl 


o5 30 


06 


1' 


0& 34 


06 ;6 


06' 37 


06 


J9 




L 


ax 


06 31 


06 


1^ 


06 35 


06 37 


06 39 


06 


41 


, 


P 


23 


06 33 


06 
06 


35 
36 


06 37\0'6' 19 V^ *t^ 
06 3,8\o6 ^OY*^ "S 






^ 


■ 








^H 



B^^H 




^> 


^ 


^p I 


I02 the Mariner's Compafs Reaijied. 






A T A B L E (hewing the Semidiurnal Arch, or Time 




of Suo-Jeiting, when the Sua hath North Declina- 






tion ; atiij theSeminoiturnal Arch, cr Time of S 


un- 






rtfing, when the Sun bath South Dcclmauoii. 


1 


ri 




The Degrees of 


LatituJ 


3. 




1 
j 
1 










35 j 26 


27 


z« 


*9 


i 


□ 




H M H M 


H M 


H M 


H M 


H 


M 
00 




C 


i?6 on 


06 oa 


cb 00 


o& 00 


06 CO 




1 


□6 oz 


od oz 


06 03 


06 01 


06 01 


0^ 


02 






2 


aft 04. 


o5 04 


06 04 


06 0« 


06 04 


c6 


OS 






3 


1:36 06 


06 c6 


06 06 


c6 06 


06 07 


06 


07 






5 


06 OJ 


o& 08 


06 oti 


c6 09 


06 09 


06 


09 


' 




06 c9 


06 10 


06 )0 


06 11 


06 II 


06 


12 




6 


96 ) 1 


06 12 


06 i: 


06 13 


06 13 


c6 


14 


1 




7 


06 15 


06 14 


□6 i<^ 


06 1; 


06 16 


06 


16 






?« 


06 l; 


06 16 


06 16 


06 17 


06 iS 


06 


^-S 






MmR. 

A — 

a 10 


06 17 


06 18 


d6 19 


9(S 19 


06 20 


ofi 


21 


1 




o& 19 


06 zo 


06 21 


06 22 


06 3} 


06 


»< 




5" 

J. 12 


06 11 


06 21 


06 13 


06 34 


06 15 


06 


26 






06 13 


06 24 


06 2J 


06 2£> 


06 27 


06 


z7 






^■'3 


06 25 


0& z6 


06 27 


06 2& 


06 39 


06 


1' 






» 11 

o 

d 
' IS 


06 27 


06 «8 


06 29 


06 JO 


06 32 


06 


33 






06 2g 


06 30 


06 31 


06 3J 


06 34 


c6 


36 




16 


06 31 


o& ^z 


06 34 


oS 35 


06 37 


06 


}^ 






>7 


06 33 


06 31 


a6 116 


06 37 


06 39' 


06 


V 






l8 


06 3S 


06 36 


06 38 


06 40 


06 4z 


06 


♦1 






'9 

30 


06 37 


d6 39 


06 40 


a& 42 


o5 44 


06 


*6 


1 




q6 39 


(^6 41 


06 43 


06 45 


06 47 


06 


48 




SI 


c6 41 


06 4J 


06 4^ 


06 47 


06 49 


06 


^1 






12 


06 41 


06 4S 


06 4S 


06 50 


06 {2 


06 


?+ 




^M i xjlod Ab 


c6 48 


06 JO 


06 cz 


06 S+|o6 


S7 




^ — hJ-iQi 


cx5 +7 


0(5 iv9|o& ^^\o^ S^\o*i \s\^ 


-4 


i 




L 




11 


■ 



^v 


i 






The Mariner's Compafs Re£iijied. 103 


1 

* 

! 

< 


1 

1 


A T A B L E fhewing the Semidiurnal Ar»h, or Time 
of Sun-fctting, when the Sun hath North Declina- 
tion; and the Seniinoflurnal Archi orTimCofSun- 
rif>ng» when the Sun- hath South Declination. 


The Degrees of Laticude. 


rt 3_ 


1 

2 

3 

S 

6 

7 

a 8 

n 
<N 9 

ft .,. 

'^ 
-, ,, 

G- 13 

i '4 

C 

16 

»7 
18 

'9 


31 

K M 


J2 


3J 


34 3S 1 


J6 


H M 


H M 


H M 

06 00 
06 03 
c6 ©s 
06 oS 
06 II 


H M 


H M 


05 oo 

06 07 
-6 10 


06 00 

06 02 

□-6 ic 


06 00 
06 03 

-06 05 

06 0^ 

06 IQ 


06 00 
06 03 
06 06 
06 c8 
06 II 


06 00 
06 03 
06 06 
06 09 
06 12 


06 12 
06 15 

cj6 17 
06 19 
06 zz 


c6 13 
06 ij 
06 I id 

o5 so 

Q^ 23 


06 13 

05 16 

06 i£ 
06 21 
oft 24 


06 I4 
06 16 
06 19 

06 22 
06 25 

06 yj 
06 30 
d6 33 
06 36 
06 3.; 


06 14 
06 17 
06 zo 
06 23 
06 25 


06 15 

06 iS 
06 zo 
06 23 
q6 «6 


06 24 
06 z? 
06 29 
06 3z 
06 34 

c6 37 
06 40 
06 42 
06 45 

f>6 4.' 


q6 j5 

06 38 
06 31 
06 33 
06 36 


06 26 

06 29 
06 32 
06 34 

06 37 


q6 z8 
06 31 
q6 34 

06 37 
06 40 


06 29 
06 3 a 
06 36 
06 39 

06 42 


06 39 
06 41 

06 47 
06 50 


06 40 
06 43 
06 4''. 
06 4v 
06 ;2 


06 42 
06 jj 
06 ^8 
06 ;i 
06 54 


36 43 
06 46 
0(5 49 
06 53 
06 56 


q6 45 
06 48 
06 ;| 

05 55 

06 58 


t 


20 

Zl 
23 

»3>5 


06 51 

05 S3 

06 56 

06 59 

07 0/, 


06 S3 
JO 06 
56 08 

07 01 
07 03 


06 ss 

06 jS 

07 01 

07 04 
07 06 


^6 57 
07 00 
a? oj 

07 0^ 


06 S9 

07 02 
07 06 


07 01 

07 O! 

07 08 


m. 


r — ■ ... ,..,1^ Cs A^.. . — 


^1 



^H 


^^^^^^V "^ 


^1 


1 


IQ^. Thi Manner's Csinpafs Reilijied. 




] 




^ 


A T ABLE fliewiiig ihe Semidiurnal Arch, oc Time 


L 


of Sim-rettiog, 


ttriien the Sun huh North Dccl 


ina- 


H 


■ 


don; and theSeminodluinal Arch» orTimc of Sun- 


H 


1 


rtfirig, ivhen the Sun hacli ^ 


autb Dc 


:tlinatian- 




1 




Ih 


; Degrees «f LaiituL 


e. 






a= 


J7 
H M 

o6 oo 


3 


d 


39 


4.0 
H M 
d6 CO 


4' 


4 


z 


H 
06 


M 
00 


H M 

06 oc 


H .V! 
o& 00 


H 


M 


oti 


CO 




J 


Oti 03 


06 


o» 


Oti OJ 


06 03 


06 03 


o5 


04 




^ 


Z 


o5 06 


06 


06 


06 c6 


06 07 


oft cy 


06 


07 




■ 


S 


06 og 


c6 


Cfl 


06 to 


06 10 


06 !□ 


06 


II 




^ 


4 


Ob 12 


05 


U 


a6 13 


.6 i3 


06 I4 


06 


'4 




5 


06 15 


o(i 


1^ 


06 16 


06 17 


06 n 


«6 


la 







06 li 


06 


««P 


06 zo 


06 ao 


oA 21 


C.6 


xt 






7 


06 21 


06 


2i 


06 ty 


06 ±4 


o& ij 


06 


as 






a 8 


06 Z4 


06 


*; 


06 jj6 


W» 17 


06 t8 


c6 


*^ 




■ 




06 27 


a 


33 


a6 3^ 


06 31 


06 31 


q6 


31 




06 ji 


09 


12 


06 32 


06 34 


06 J! 


06 


17 




B" 


□6 3^ 


06 


.}; 


06 36 


□6 j8 


06 39 


06 


40 






a'* 


d6 37 


06 


JJi 


□6 ^^!a 


06 41 


q6 4.1 


06 


44 






00 40 


06 


4« 


06 43 


06 45 


06 46 


06 


48 






■ 1? 


06 43 

06 +7 


cfi 


45 


06 +7 


06 48, 


oO 50 


06 


S» 




06 


4« 


o5 JO 


06 J2 


06 5^ 


■.6 


,6 




i6 


06 50 


06 


>2 


c6 s + 


06 56 


q6 ^j 


07 


00 






<7 


*6 53 


(J<l 


SS 


06 S7 


07 00 


07 02 


07 


C4 


1 




i8 


^ 57 


06 


S9 


07 01 


07 03 


C7 06 


p? 


o« 


m 




19 

so 


07 oo 


07 


oz 


07 C5 


07 07 


07 40 


07 


!■ 


^ 


«7 0+ 


07 


c6 


07 05 


07 t 1 


07 14 


07 


'7 




zj 


07 Q7 


07 


10 


07 Iz 


07 is 


07 Iff 


07 


ti 




/ a jo? 1 1 


07 


14 


07 16 


07 19 


07 12 


07 


»S 


u 


/ *j/o/ is\o7 


'7 


07 to 


07 i^\oi XT 


s'^n 


«^ 


rS 


^J'S'S^lc 


7 »7fo7 


'9 


07 ai\'?7 *^ 


\«i »svn 


_113^| 


K 


^. 








. 


,-.— 


^H 



^■M 


^V 








the Mariner s Com^qfs Ri£ft^ 


</, 105 




A, T A B L E fhewing the Semidiurnal Arch, or Time 
of Sun-fctting^ when the Sun hath North Declint- ( 
tion; and the Seminoilurna.1 Arch, or Time of Sun- 
rifing, when the Sun hath Soutli Ueclinatioji. t | 




1 1 


The Degrees cf Latitude, 


a'-'- 

o B 

O 
I 

2 

3 

4 

5 
6 

7 
? ^ 

s 

r> 

" lo 

^ 11 

U iz 
B. 13 

£■ 14 

cr. 

e 

P '5 

16 

'7 
18 

•5 

2C 
Zl 
ZZ 


H M 

^ CO 

06 It 
6 IS 


44 

1.6 CO 
06 c^ 

06 08 

n6 5 


45 

H M 


4b 


47 


♦ft 


H M 


H M 


oii 00 
0,6 o\ 
06 o3 
06 IZ 
06 16 


06 130 
06 04 
^6 oS 
d6 iz 

06 17 

06 31 
q6 zj 
06 Z9 
06 3j 
.^6 3S 


06 OD 
06 04 

06 17 


06 00 
06 04 
06 09 
06 13 
06 tS 


06 1 ^ 
09 ZZ 
i.6 zt 
06 Y- 
06 J4 


c^& I9 
c6 is 


q6 za 

06 24 
06 iS 

06 32 

a6 }6 


06 ZI. 

06 30 
tA 3S 
06 39 


06- 22 

06 27 

06 3i 
06 36 
06 41 


a6 38 
olt 42 
06 46 
06 50 

06 54 

07 01 
07 06 

or 11 
07 15 


06 39 
06 43 

06 47 

06 ;6 


e6 41 

06 45 
06 49 
06 S3 
06 s« 


06 ^2 

06 ^6 
^6 yi 
36 55 

07 CO 


06 4j 

06 48 

06 S7 

07 02 


06 45 

06 50 

06 59 

07 04 


07 00 
07 0+ 
07 oy 
07 13 
07 i« 


07 Oi 

07 07 
07 II 
07 16 
D7 - ai 


07 04 

P7 09 
&7 H 
07 19 

«7 34 


07 C7 
07 11 
07 17 

07 a? 


4>7 0$ 

*>7 >♦ , 
07 19 
07 25 

07 JC 


07 19 

&7 14 

07 28 

V 36 


c>7 3> 

W a? 
&7 31 

97 36 
«7 39 


07 25 
07 30 

07 55 

07 ^3 


97 ^9 


07 3« 
07 37 


37 3S 
07 41 


^^^1 




^^H 



Tie Marimr*i Compaf^ Rectified. 

U S E of the foregoing TABLES of 
Semidiurnal and Seminofturoal Arches. 



^o find the Time of che Sun's Rifing and Setting, and the 
Length of the Day, and Night, by ihefe Tables. 

FIRST, feck the Sun's Declination in the Tables of 
Decliralion for ihe Day propofed ; with which enter 
die Tables uf Semidiurnal and Semino£turnal Arches ; 
finding the Latitude of the Place in the Head of the Ta- 
ble* and the Decrees of the Sun's Declination in the firft 
Column on the Left-hand ; and in the common Ang^e of 
Meeting is the Semidiurnal Arch, if the Sun hath North 
Declinatipa ; hut it's Scmlnt^^utna! Arch, if the Sun bath 
South Declination. 

Example i. For llluftration hereof, let it he required to 
find the lime of (he Sun's Rifing and Setting, the Length 
of the Day and Night, for the 4th Day of May, 1778, in 
Latitude 46 Degrees North. 

At which Time the Sun's Declination is 16 dcg. 3 min. 
North i with which enter the Table, as is before declared, 
and the Semidiurnal Arch is 7 Hours gMin. the true Time 
of Sun-fcitin» ; whofe Complement to i^ Hours is the 
Scminoflurnal Arch, or the Time of the Sun-rifing, and is 
4 Houis 51 Minutest double the Semidiurnal Arch you 
have the Length of the Day ; double the Semino^urnal 



Afch, the Aggregate is the Length 0/ the Night. 
Work following. 



See the 



^ 



^Rt 



he Semidiurn&l Arch, or Timt of Sun> 
e Complement to 12 Hours is • - 



H. 

°7 



M. 
00 
09 



•The Seminofturnal Arch, or Time of 5 
.tjiude 4& Degrees Notthi u 4 Hours 51 ^ 



^ 



^^'Mai 




'""'^^'■^p^j.^^^^ 







The 9 ■ ' ''*'^' ^* 

^"^Mrth doubled . ,— 



South Dcrf .' ^« ^787. ^.^"'^'■cb. • '"'^ rite 






Con?! 



Of* 



. f .:• 



'^"n-ri/Ing 



/ 




O:^ 



7he Mariner's Cot^^afs ReSlifed. 



r 

^^Thcfe Tables will ferve as wel[ in South Latitude as in 
North, with this Alteration only ; When in South Lati^ 
mdc, then ufe South Declination there, as you do Noi'th 
Declination here in North Latitude^ 

For then thcfe Tables Ihcw the Semidiurnal ArcJT, or 
the Time of Sun-riring, when the Sun hath Somth Decli- 
nation i and the Seminoitiiriial Arch, or the Tinieot Sun- 
fciting, when the Sun hath North Decimation. 

Example 4.. Let it be rcquire<J to find the Tiifie of the 
Sun's Kiflng and Setting, with the Length of the Dsy and 
Night, for the ^.th of May, 1/87, in Latitude 46 Degrees 
South. 

At which Time the Sun's Declination is 16 Degrees 00 

li Minutes North ^ wich which ciner the Tuble, and the 

Seuiinnfliirnal Arch ii 7 Houis 5 Minutes the Time of Sun 

; rifing ; whofe Contplemrnt 12 Huurs Is ihe Semidiurnal 

Aich.or 7'ime of bun-fetting, whith it* at 51 Minutes naft 

if the Clock. 



U 



The Scmino£t«rnaI doubled — . 

The I»cngtb of the Night, May, 4, 1787, 
~ ititude46 Degrees South ■ 



in 



H 



II. M. 

f 07 : 09 
I 07 : 09 



e Scmittiurnal Arch doubled 



04. 
C4 



5t 
i" 



f Length of the D^y, the 4th of May, 
rSy, Latitude 46 Degrees South—— 



09 142 



'jiampU 5- Let it be required to find the Tirne of the 
Ts Riting «nd Setting, -with the Length of the Day and 
Night, for the nth of December^ 1783 io Latitude 5} 
Degrees SoutJi. At which Time the Sun's Declioatton is 
ajdeg. 3 min. South; With which eriter the Table of 
Svoiidiurna) Arches, C^c and you williutdas follows. 



H, ' M. 



the Mariner's Compafs Re^ified. 



1 



H. 

, 12 : oo 

he SemidJurnal Arcli, or Timeof Sun-fetting 08; 17 



The Semmofl^irnal Arch, or Timeof Sun-rtfing 03 : 43 



The Length of the Day .-- 

Length of the ^ight, December n, i;?8j 
Latitude 53 Degrees South — • '^*— 



16 



07 



To find the Time of a Star's R'lfing or Setting. 



B]ii 



34- 



1 



theCe Tables the Time of the Rifing and Setting of 
the Stars in the Heavens [whofe Declination do not ' 
exceed the Sun's gre-ateft DecJi nation,) in any Latitude 
that the Tables contain, and at any Time of the Year^^d 
found in this Mannen ^^M 

If the Star hath North Declination, and you are in North * 
Latitude, look for the Latitude in the Head of the Table, . 
the Declination on the Ijeft-band, it)d in the common 1 
Angle of Meeting is the Star's Semiapparent Arch,or half 
the Time of the Star's Continuance above the Horizon, in ■ 
that Latitude ; or the fpace of Time which that Star takes 
in afcending from the Horizon to the Meridian, on the , 
Kaft-fide i likewife defcending from the Meridian, to the ; 
Horizon, on the Welt-fEde of the Meridian^ Now,, if 
you fubtraiEt thele Hours and Minutes from the Time of,' 

the Star's coming to the Meridian, the Remainder will be 

the Time of the Star's R'fing ' And if you add, the Sum 

will be the true Time of the Star's Setting. 

Example 6. Let it be rciquired (o find th« Time of the , 

Riling and Setting of the Bull's £yt, November the 30th 

in the Latitude of 52 Degrees North : The Declination 
of the Star is 16 deg. North ; the joih Day of November 

this Star Cometh on the Meridian at j6 Minutes paft 1 ij" ' 

,tl^c Clock at Night. 




T^tf Mariner^s Compaft ReSliJisd. 



ic Thne of the Star's Soulhrrg . _ . 
The Scmi'spparcjit Arch, fubtraiSt • - 






It Time of the Siar'a Rifing in ihe Evening 
ic of the Star's Setting in the Moming - 



Note I. If the Sum of thr Addition exceeil [2 Flours, 
caflaway 12 Hoa/s ; the Surplus i$ rhc Star's Sating. 
i, 1, And when yoij can't fubirsifV, adii 12 Hcurs to the 
Star's Southing, and then fuhtradt : What remains is it's 

^^^xample 7. I Jefire to know (he Time of the Rising 
^iml Setting of the Bull's Fye, the 30th Day cif Novemher, 

in the Latitude of 13 Degrees North ; The Detliliation of 

the Bull's Eye 16 tlcg. Nurch f 

■ H, M. 

^The Time of the Star's Southing - - - - - u : 56 

The Semi apparent Arch, fubtiaft - - - - 06 : 15 




TheTimeof his Riling in the Evening - - - 03 : 41 



IC 



Time of bis Setting in the Morning 



06 



It 



iflhe Star hath South Declination, and you are in North 
Latitude, look (as before) the Lstitude \\\ (he Head of the 
Tabfe, the Declination on the LcJ't ftJe, and in the com- 
mo'n Angle of Meeting is the Star's Scnii-deprcfled Arch: 
which fubtra^ from 12 Hours, the Remainder i« the Star's 
Semi-apparettt Arch, or h^lf the Time that the Star doth 
continue above the Horizon in that Latitude : Therefore 
fu'btracl thofc Hours and Minutes from the Time of the 
Star's coming to the Mt-ridian, adding 12 Hours to the 
Star's Southing, if oGherwiJe Subtrai^ion cannot be made, 
the iieinainder will be the Time of the Star's Rifing ; and 
ff^euadJ, the Sum will be the Time of the Star's Setting, 




the Mariner's Compa/s RecHJied^ 1 1 3 

BxampU 8. Let it be required to find the Time of the 
Rifmg and Setting of the Bright Star in the Gret2t Dig's 
Mouthy the 15th Day of Nsvember, in the Latitude of 
50 deg. North. The Declination of the Great Dog's Mouth, 
is i6d. 24m, South, and its Southing is 3 Hours, 12 min. 
in the Morning, the 25th of November, 

H. M. 
The Time of the Star's Southing is - ^. - - 03:12 
To it add- ------------ 12 : 00 

The Sum is ---------- 15 : 12 

The Semi-deprelled Arch, by the Table is - - 07 : 22 
Which fubtraa from - _.-..- 12 : 00 

The Remainder is the Semi-apparant Arch - 04 • 38 

Time of Southing with 12 Hours added is - - 
The Semi-apparent Arch fubtra£l - _ - - 

Time of the Star's Rifing in the Evening . - _ 

Time of the Star's Setting; ffom Noon, or 50 1 - . . ' ' 

min, part 7 in the Morning - . - - j "'•j'^ 

Example Q. I defire to know the Rifing and. Setting of 
the Great Dog, the i^th o( NevemheTy in the Latitude of 
30 Degrees North. 

H. M. 
Time of Southing with 12 Hours added - - 15 : 12 * 

The Semi-deprefled Arch, by the Table, is - 6 : 39 

Subtradt from ---------- 12 : 00 

Remainder of the Semi-apparent Arch - - - 5 .• 21 

Time of Southing, with 12 Hours added, is - 15 : 12 

Subtraft, gives the Time of the Star's rifwie in I " 

the Evening - . -^ J 9 • Si 

Added, gives the' Star's fetting in the Morning, 7 „ " 
when 1 2 Hours are fubtradied - - - J 0-33 

In South Latitude, to knew the Time of Rijing and Setting 

■af the Stars, 
" Proceed with thofe Stars that hath North Delination 
in South Latitude, aswitKStarsthat have South Declina- 
tion in North Latitude^ 



Ti}ff Mariner sCompdfs RiSIiJied. 





ExanipU 10. Let it be required to find the Time of the 

Ufing and Setting of the BuiPt Eye the igch Day of 
^Navtmher^ in the Latitude of 42 Degrees South. 

The Declinatioa of this Star is 16 De'g, 00 min North : 
the i8th Day of November, this Star cometh upon the 
Meridian at 47 inln. paft 1-2 in the Mornijig. 

H. M. 

The Semi-deprcfsM Arch, by the Table I5 . 07 : oS 

W fiicb fubtraift from ■ 12 ; 00 



k: 



The Remainder is the Semi-apparent Arch- 



0+: Si 



The Time of the Star's Northing Is 
jThe Semi- apparent Arch, fubtracl 



Time of the Star's Rifing in the Evening 



-la : 47 
04: 52 

07 : 47 



Time of the Star's Settijig in the Morning — 

in like Manner the rifing and Setting of any Su'i 
(.(whofe Dcclinjtiuji excccdcth not the Sun's grcateft) may 

he found in any Latitude, from the Equinodiial to 60 
.Degrets, either North oi- South. 



ASTRONOMIC 



A B 



E S, 



\ShiVjing thi Poinis vf the Compafs, tbt Sun and Stars Rift 
and Set uperi, ' 

Being of excellent Ufe for leadily finding the Variation 
■ the Com|.afs ; and may be peifori.ied by an ordinary 
feridiaji Compafs, but more cxadtly by an Azimutn 
^ompaf». 

Filling all Pans of the World, where the Pole is noc 
elevated »hovc 6^ Deg, either North or South. 




Ibe Manner^ sCcmpafs ReS^ed. 115 



L«dtudc o Degree. 



Notdibec 



Qri ) ©fet 



Eafi Weft 
I 

z 

ebn wbn 
1 

a 

3 

end wnw 



Dec. 



r 



m. 



0.00 

*-49 

5-37 
8.z6 

ii.ij 
14.04 
16.52 
19.41 
22.30 



SoDtliDec. 



eri|gfet 



Baft Weft 
. I 

2 

3 

e b e wbs 
I* 

2 

3 
eae wsw 



Laticude 1 Degree 



NwoiOec. Dec 



On I Ofet 



SsDthlbK- 



Eaft Weft 
I 

2 

ebn wbn 
I 

2 

3 

enc wnw 



0.00 
2.49 

5-37 
8.z6 
11.15 
14.04 
16.52 
19.41 
22.30 



Qri) ^t 



Bait Mreft 
I 

2 

3 

ebs wbs 
I 

2 

3 

eie W4« 



Latimdc 2 Degrees. Latitude 3 Degrees. 




H 2 



p 




■ 


J 


1 1 6 The M'^riner's C&mpajs RtSijied. 


^ 


Latitude 4 Degrees. 


Latitude 5 Ocgrets 


J 


North Dec. 


Dec. 


South Dec" 


North D« 


Dec. 


South Dec. 


' 'ri 1 ©Tei 


d. m. 


■ ri 1 © fet 


On] Qlet 


d, m. 


J ri 1 e fee 


Eaft Welt 


O.OO 


£ait Well 


Eart Well 


a.oo 


Eall Wrll. 


■ 


I 


Z48 


I 


t 


Z.4S 


1^1 


■ 


2 


547 


z 


z 


5.3O 


\w 


■ 


3 


tf,.^ 


J 


3 


8.2+ 


3 1 1 


^■u^ba wbn 


II. ij^ 


ebs wb s 


ebn wbn 


1 1. 12 


cbs wb s t^J 


■B ' 


14.02 


I 


"I 


13.01 


Ij^H 


^ 


'■ a 


16..50 


3 


2 


16.49 


^^1 


I 


3 


19-3B 


3 


3 


19.3G 


I^H 


1 


ene wnvv 

i 

»- __ 


21.25 


esc wsw 


ene wnw 


22.23 


e B e wsw ^^ 


P 


ijatitudeb Ufgl'ccS. 


Latitude 7 Degrees. 




Nnrthl lec. 


Dec 


South Dec. 


NorthDcc. 


Dec. 


South D«;c 




Gi-i 1 0fet 


d. m, 


en) Glee 


'■ri f ofet 


d. m, 

O.CO' 


On| Gfet 




Eail Wert 


0.00 


Kalt Wefl 


Halt Wdl 


iLall W^rt 


■ 


J 


2.4.S 


1 


1 


2,4a 


1 


■ 


^ 


2 


5.J6 


2 


2 


S-3S 


z 


^ 


r^ 


3 


if..,? 


, 3 


3 


8.22 


. 3 , 


1 


^ 


ebn wbn 


11.1 1 


e b s wbs 


ebn won 


11.09 


ebs WD t 


J 


■ 


I 


15S9 


1 


I 


'3-S7 


1 


■ 


^ 


z 


1&.47 


2 


z 


t6.^s 


z 


^ 




3 


"9 3 = 


3 


3 


r9,j2 


3 


j 




enc wnw 


22-21 


esc wsw 


eae wnw 


12.19 


esc wi w 







7l>e Mariner's^ Cetnpa/s KeSi^ed. 1 1 7 



Latitude 8 Degree. 



NorthDec 



0ri I ©fet 



Eaft Weft 
1 

2 

3 . 
cbn won 

1 

2 

3 

eii€ wnw 



Dec. 



d. m. 



South Dec. 



-On 1 ©fet 



0.00 

53S 

8.Z1 
11.08 

1355 
16.42 
ig.29 
21.16 



Eaft Weft 
I 

2 

3 

e bs wbs 
1 

2 

3 
ese wsw 



idcitudc,^ Degree 



NorthDec. 



Ori I SLfet 



Eaft Weft 
1 

2 

ebn wbn 
I 

2 

3 

ene<wnw 



Dec. 



Sttuth Dec- 



d. m. 



0.00 
2.47 

S-33 

8.Z0 

11.06 

>3-53 
16.40 

19.26 
22. iz 



ori I Q{tt 



Eaft Weft 
I 

2 

3 

ebs wbs 
I 

2 

3 
ese wsw 



j..at'tud; 10 



grctfb. 



NorthPec j Dec. 
O ri I let 



South Dec. 



Ori lofet 



Eaft Wek 
1 

2 

ebn wbn 
1 

2 

3 
cae wnw 



o.co 
2.46 

S.32 
8.18 

II 04 

1350 
16.37 

19.22 

21. 08 



Eaft Weft 
I 

2 

3 
ebs wbs 

I 

2 

3 
ese wsw 



..atitudc II Degrtfs. 



NortKDec. 



Dec, 



Ori I ©fet 



d. m. 



Eaft Weft 
■I 

2 

3 

ebn wbn 
J 

.2 

3 
ene wnw 



0.00 
2 46 

5-3 > 

8.17 

11.0} 

13-48 
16.33 
19. 18 

22.03 



South Dec. 



O ri 1 fet 



Eaft Weft 
I 

2 

3 

ebs wbs 

I 

2 

3 
ese wsw 




Latitude 14 Dtgrtes. 



Latitjd'e 15 Degrees. 




7U Marin&*s Ce»pafs Rumpd. iV^K 



Latitude 26 Degrces^. 



NtnthDeclDecT 



On I ofet 



d. iD< 



Eaft Weft 
I 

z 

ebn wbn 
I 

2 

, 3 
fine wnw 



0.00 
2.42 

10.49 

'3-3> 
16.12 
18.5J 
ai.31 



gottthPec. 



on 



Baft Weft 
I 

2' 

3 

ebs wbs 
1 

2 

3 
ese wsw 



Latitude 17 Degrers. 



NorthDec 



Eaft Weft 
I 

ebn wbn 
I 

2' 

3 
eoe wnw 



Peel. t. SoatbjPec. 

Qri[$fet . 



or -p- 



0.00 
2.42 
5.23 

8^4 

10.46 

16.08 

18.47 
11.27 



Eaft Weft 
I 

2 

3 

eba wbs 

1 

2 

3 
ese wsw 



Latitude 1 8 Degrees. 



NorthDec. pec. 



©rilOfet 



Eaft Weft 
1 

2 

ebn wbn 
I 

2 

3 
en ew 



nwz 



d.m. 



0.00 
2.41 
y.2i 
8,01 
10.42 

13-22 
16.02 
18.40 
1.20 



SoQtbPec, 



Qri) Ofet 

Eaft Weft 

I 

2 

ebs wbs 

I 
2 

3 
ese wsw 



Latitude 19 Degrees. 



NorthPec 



Ori] O^et 



Eaft Weft 
I 
3 

3 

e b n w b n 

1 

2 

3 
ene wnw 



Pec, 



d.m. 



South Pec 



Qfije fet 



0.00 
2.40 
5.19 
7.58 
10.38 

i3-'7 
15.56 

18.34 
21.27 



Eaft Weft 
I 

«■■■ 

3 
«b wbs 

1 

2 

3 
ese wsw 



^^^ J 


' 


j^iao 7>f Mnrrntr'i Cofi.paji Re^i.iifd 1 


I 


1 .atitudc 2 Dcgr ts 


1' atitU' i 


21 1 .'tgr ■ s 1 


m 


North Dec. Dec. 


South Dec. 


NorhDec 


Dec. 


SouolDcc. 




Qri j Gfttd. m. 


ori : o^ei 


H 1 fet 


d- n>. 


Gr. IQlec 


Eall Wtft, tj.oo 


i.aft Weft 


LaJl Vvdt 


0.0; 


bi.li Weh 




1 


2.3S 


[ 


I 


2.38 


1 






2 


S'7 


2 


2 


5-'S 


' 


^J 




3 . 


7-5? 


3 


3 


7.52 


3 . n 




ebn wbii 


'0.34 


eb fi w b s 


ebn wbn 


10.30 


e L)- s w Ds ■ ^^ 




1 


13.1: 


1 


1 


'3-°7 


' 


■ 


z 


»S49 


z 


2 


IS 43 


1^ 




3 


1S.27 


3 


i 


iS.ia 


3 !■ 




tnt wnw 


21.04 


ese wsw 


e tie wnw 
1 


20,5 s 
23-32 


e s e Vfsw 
1 

t 


n 


■ 


Latitude 22 Degrees. 


Latimde 23 Degrtcs. 




NorthDec Dec. 


sSouihDec, 


NorchDec, 


Dec. 


iiouth JJec. 




Ori Qiei d. in. 


Qt\ Olec 


ri 1 let 


d. in. 


Grij Olet 


Ealt Weft 


O.OQ 


E.ri Weft 


tall ,Weil 


0.0c jEalt \\Ki\ 




I 


2'37 


I 


J 


1.36 


1 






2 


S "3 


2 


2 


S.ii 


2 






, 3 


7 45 


3 


3 


7.4.& 


3 






ebn won 10 2; 


ebs w bs 


ebn wbn 


10.21 


e b ti ^v b 9 


1 




1 


13-01 


1 


I 


12.0 


:■ 


■ 


k 


i?.37 


2 


7 


IJ.U 


^ 




3 


18 CZ 


5 


3 


la.03 


3 ] 




ene wnw^ 2o 46 


esc w sw 


ene WnW 


*o-37 


est wsw ^J 




I 


23. 2J 


[ 


t 


23.il 


' 




i 


^^^^^^^J^ 


1 



The Mariner' sOmpuff RtOifiid. ""'jiai' "| 


Latitude 24 Degrees. | 


Latitude 25 Degrees. | 


NortbI><c. 


Dec. 


South Dec. 


N(»tht>ec 


Dec. 


SoitdiDec. 


Ori 1 Qitt 


d. m. 


©ri Ofet 


Ori|ofet 


(t m. 


OritOiet 


Eaft Weft 


0.00 


EaftWeft 


EaftWeft 


0.00 


EaftWeft 


I 


2-34 


I 


I 


2-S3 


I 


2 


5.08 


2 


z 


5,05 


2 


3 . 


7.42 


.. 3 ^ 


3 


7.l8 


, 3 , 


ebn won 


10.16 


ebs wba 


ebn wbn 


to.ii 


ebs wbs 


I 


12.50 


I 


I 


U.43 


I 


2 


'5-?3 


z 


z 


15.15 


2 


3 


'7-SS 


3 


3 


17.46 


3 


eae wnw 


20.27 


ese wsw 


e n e w n Wi 


20.17 


ese wsw 


I 


23.00 


1 


I 1 Z0.48 

i 


1 


Latitude 26 Degrees. 


Latitude 27 Degrees. | 


NorthDec. 


Dec. South Dec. 


NorthDec. 


Dec. 


South Dec. 1 


Ori j Oiet 


dm. 0ri| fee 


Ori| Qfct 


d.m. 


Ori| ■ let 


EaftWeft 


0.00 EaftWeil 


EaftWeft 


0.00 


Eaft Welt 


I 


z-34 


I 


I 


2.30 


I 


2 


S-°3 


2. 


2 


5.oe 


2 


. 3 


7-3? 


,. 3 ^ 


3 


7-V 


, 3 


eon won 


10.06 


ebs w Ds 


ebn wbn 


10.01 


eb wb s 


I 


12.56 


I 


I 


12.30 


I 


2 


15.08 


2 


z ' 


15.00 


2 


3 


J7-37 


3 


3 


17.28 


3 


en ewnw 


20.o5 ese wsw j 


ene wnw 


'9*^'; 


ese wsw 


I 


22.56 


1 


I 


22.23 


1 








. 







. 


1 1 8 Tke Mariner*! Compajs ReSiified. 


1 


Latitude la Degrees. 


Lacitudc fj Degrees 


Nor'cti t)ec. 


Dec. 


South Dec. 


NortliDec 


l^ec. 


South Dec. 


Ori| ©fe 


d. m. 


ri j ftt 


©ri| Qfet 


d. m. 


ciri 1; 0fet 




Eaft WeA 


0.00 


Ealt Welt 


Bait WeJi 


0,00 


Eaft Well. 






I 


2.4; 


1 


1 


^45 


1 






2 


5.30 


2 


z 


S-ag 


2 






3 


a-i^ 


3 


3 


8.»,? 


. 3 






ebn wbn 


11.00 


efa) wb s 


e h n wbn 


10.57 


CDS wba 






I 


'3+; 


1 


I 


13,4a 


1 






3 


16.30 


2 


J 


16.26 


2 






'J 


19.14 


3 


3 


igio 


3 






V 


21. ;8 


«s e WBw 


ene wnw 


21.53 


Bse ws w 


* 


L,atitude 14 Dtgrces. 1 


Latitude 15 Degrees, 


1 


North' Jcc. 


Dec. 


South Dec . 


NnnhDec. 


Dec. 

d. m. 


South Dec 


©li ] ©fct 


d. ni. 


&n\ G^et 


ri f lee 


Oril OlL-t 


Ball Weft 


0,00 


Eaft Weft 


Halt Weft 


■0.00 


aaft M'dt 




I 


z-41 


1 


1 


Z'+l 


1 






z 


j.za 


2 


s 


5.a6 


2 




^ 


3 


&,ii 

iQ-5? 


3 
c bs wb s 


ebn wbn 


8.09 

10.52 


, 3 
<; b E wbt 




ebn won 


■ 


I 


i3'3« 


I 


1 


1.^3 S 


I 




■ ' 


2 


i6.zz 


z 


2 


1&.17 


2 




■' 


3 


"904 


3 ■ 


3 


18.59 


3 






ene wnw 


41.47 


esc w EW 


ene waw 


21.41 


e se ws w 


1 


i 


k m 


■ 



The Mariner's Cempa/s Rjt&ified. Ti^-: 



Latitude i6 Degrees. 




Latitude 17 Degrees. 



NofAPec 
QrflQfet 



EaftWeft 
I 

3 

ebn wbo 

I 

2' 

3 
enewnw 



Dec. 



oi 'p- 



SoodiDcc. 



0.00 
^.42 

Sj04 
10.46 
13.29 
16.08 
18.47 
JI.27 



Qri I Qfet 



EaftWeft 
I 

2 

cbfl wbi 
t 

X 

3 
cse wsw 



Ladcude 18 Degrees. 



NorthDec. I>cc. 



OritOfet 



EaftWeft 
I 

2 



ebn wbn 
I 

2 

3 

en ew 



SoncbDec. 



T 



m. 



0.00 
2.41 
5.21 
8,01 
10.42 
13-22 

l6.02 

18.40 
nwlai.zo 



Qri I C fee 



EaftWeft 
1 

2 

ebs wbs 
I 

2 

3 
ese wsw 



Latitude 19 Degrees. 



NorthDec 



Ori 1 O fet 



EaftWeft 
,1 
2 

3 

ebn wbn 

I 

-2 

3 
ene wnw 



Dec. 



(l.m. 



SoutbDec 



©rijojet 



0.00 
2.4c 
5.19 
7.58 
10.38 

i3'7 
15.56 

18.34 
21.27 



Eaft Weft 
1 

I-' 

eb wbi 
I 

2 

3 
ese wsw 



A 



m 


F ' 


1 




j^i2o Thi Mariner' i Couipajs Re^.n?d 


1 

1 
1 


Latitude 3 Dfgr cs 


< atitu^ ^ 


2 I 1 -'egr ■ s 


North Dec. Dec. 


South Dec. 


NorihDec 


Dec. 


SouiriDec. 


Qri 1 Gfet d. m. 
Ealt Wtft o.eo 


011 : ©fct 


ri 1 G ftr 


d m. 


Gr. 1 once 


L.aft Wcit 


t-alt \^eli 


o.ot 


titiL Weft 




I 2.38 


I 


r 


2-3 8 


I 


1 




2 5,17 


2 


2 


5-'5 


2 


1 




, 3 . 7Si 


3 


, 3 


7'i» 


, 3 , 


1 




eon won 10.54 


CDS wbs 


ebn wbn 


J 0.30 


e b s wbs 






I 


13.12 


1 


T 


13,07 


1 


' 




2 


'S49 


z 


2 


iv4J 


2 


1 




3 


18.27 


3 


3 


iB.io 


3 


' 




eoe wnw 


21.04 


es e ws w 


ene wnw 


ao.-;^ 


ese ws w 












1 


23.33 


I 


















1 


y 


Latitude 22 Degrees. 


Lacitude ij Degrees. 


NorthDicc. 


■ Dec. 
d. m. 


SouthDec. 


N'onhDec. 


Dec, 


Sotich I>ec. 


0ri| Ofec 


qH, 0fet 


©ri| Oiet 


d. ni. 


ri ] Ice 


Ealt Weft 


0.00 


Edft Weft 


taft Wtib 


0.00 


Ealt ^cll 


■ 


I 


^■37 


1 


I 


1.36 


1 


1 




z 


SI3 


z 


z 


5.11 


2 


' 




^ 3 . 


7-49 


. 3 


. 3 


7.46 


, 3 






eon w bn id z; 


ibs wbs 


ebn wbn 


IH3.Z1 


e b s wbs 






I 


rg.oi 


1 


I 


12, j6 


] 






% 


iS-37 


2 


3 


15.31 


2 






3 


18. 12 


3 


3 


I«.OJ 


3 






ene wnw 


20 46 


esc waw 


ene wnw 


ao.j7 


e s. e w s w 




L 


I 


23.21 


I 


1 


23.1 1 


1 


- 
1 




J 



The Mariner's Cempsff RtSifitd. ' '\%i ~| 


Latitude 24 Degrees. 


Latitude 2« Deareea. I 


NorthDec. 


Dec. 


South Dec. 


Nortbb 


. 


Zo^-D^. 


Ori 1 Qfet 


|d. m. 


Ori| 0fet 


OrijOfet 


0.00 


ori t ofet 


Eaft Weft 


0.0^ 


Eaft Weft 


EtftWeft 


Eaft Weft 


I 


*-34 


I 


1 


s-53 


I 


2 


5.08. 


2 


2 


S.05 


2 


3 


7.42 


^ 3 , 


3 


M« 


. 3 , 


ebn wbn 


10.16 


ebs wbs 


ebn wbn 


10.11 


ebs wbs 


I 


12.50 


I 


1 


11.43 


I 


2 


'5-23 


2 


z 


15.15 


z 


3 


'7-55 


3 


3 


17.46 


3 


ene wnw 


20.27 


es e wsw 


ene wnw 
1 


20.17 


eae wsw 


I 


23.00 


1 


zo.48 


1 


Lacitud 


e 2,6 Degrees. 


Latitude 27 Degrees. 1 


^forthDec. 


Dec. South Dec. 


NorthDec. 


Dec. 


South Dec. 


0ii { Oiet 


dm. OHj fet 


Ori| Ofet 


d.m. 


©ri) ■ iet 


Eaft Weft 


0.00 Eaft Weft 


Eaft Weft 


0.00 


Eaft Welt 


1 


2.34. 


I 


I 


2.3c 


1 


z 


5.03 


2. 


2 


j.oe 


z 


. 3 


7-35 


3 . 


3 


7-1' 


. 3 


ebn wbn 


10.06 ebs wbs 1 


ebn wbn 


10.01 


eb wb s 


I 


12.36 


I 


I 


12.30 


I 


z 


15.C8 


2 


2 ' 


15.00 


2 


3 


17-37 


3 


3 


17.28 


3 


en ewnw 


zo.o5 ese wsw j 


ene wnw 


'9-55 


ese wsw 


1 


22.36 


t 


I 


32.23 


1 



122 The Mariner's Compafs Relfified. 



Latitude 28 Degrers 
South Dec. 



NorthDec.l Dec. 


©ri [ ©fet d, m. 


Ealt Weft 


0.00 


I 


2.39 


z 


4-S« 


. 3 . 


7.27 


cbn won 


9-SS 


1 


12.23 


2 


14,5 t 


3 


17,18 


ene wnw 


'9-44 


, 1 


2Z.II 



liaft ' Well 
I 

z 

ebs wbs 
1 

% 

3 

ese wsw 
I 



Latitude 29 Degrees, 




NorchDec, 



O ri I O let 



liall Wen 
1 

z 

3 

ebn wbn 
[ 

z 

3 

ene wnw 
1 



Dec 



.1, 



0.00 
2.28 

7.22 

9.50 

12. t6 

H-43 
17.08 

19.32 

21.58 



South Dec. 



o^;|0^e^ 



fcart Welt 
1 

2 

ebs wbs 
I 

z 

3 

e s e w s w 

I 



Latitude 3^ Degrees, 



^f6^thDcc. Dec, 



f 




iOGihDec. 



on; Oict 



Eall Wert 
I 

2 

ebs wbs 
I 

z 

3 

:; H e w sw 
I 



Latitude ji Degrees. 



North Dec. 


Dec. 


©ri| Ofet 


A. m 


halt Welt 


0,00 


I 


2.15 


2 . 


4.^0 


3 


7-n 


ebn wbn 


9-38 


I 


IZ.Ol 


3 


14.2^ 


3 ' 


16.47 


ene wow 


19.0S 


1 


11.50 



South Dec 



0« ©let 



Eaft Wi=t"l 
1 

3 

e b i wbs 

I 

X 

3 
r s e w sw 

L 



35«tEBccT 



7^ 



Latitude jz Degrees. 



123 



Eaft Weft 
1 

2 

3 

ebn w'bn 

I 

2 

3 

cae wnw 

I 



d. nu 



Dec. 



SoftthDec!. 



o.oo 

2.33 

4.46 
7.08 



Ori I Ofet 



Eaft Weft 
I 
2 

3 
9,31 ebs w&a 

11.54 
14.15 
16.36 
18.5s 

21. 16 



1 

2 

h 

ese wsw 
1 



Latitude 33 Degree«. 



NorthDec^ 



On I ofet 



Dec. 



South Dec. 



Eaft Weft 
I . 

2 

, 3 

ebn wbn 

I 
3 

3 

ene wnw 
1 

2 



m. 



0.00 
2.22 

4-43 

7.04 

9.25 

11.46 

14.06 

16.24 

18-43 
21.01 
23.17 



©ril Gfct 



Eaft Weft 
1 

2 

ebs wbs 
I 

2 

3 

ese ^sw 
I 

2 



Latitude 34 Degrees. 



NordiDec 



Orii fet 



Eaft Weft 
I 

2 

3 
ebn wbn 



0,00 

2,20 

4.40 

6.S9 

9.18 

.1.38 

13.56 

16.13 

ene wnwli8.29 

1 20.46 

2 23. 00 



Dec. 



d. m. 



South Dec 



On I Ofet 



Eaft Weft 
I 

z 

3 

ebs wbs 

I 

X 

3 

ege wsw 
I 

3 



Latitude 35 Degrees. 



NorchDec. 



Ori I Ofet 



d. m. ©ril Q(et 



Eaft Weft 
1 
2 

ebn. wbn 
1 

2 

3 

ene wnw 
1 

2 



Dec. iSouthDec. 



0.00 
2.18 

4-37 

6.S4 

g.i2 

11.29 

U-46 

f6.02 

18.16 
20.30 
22.43 



Eaft Weft 
1 ' 

2 

ebs wbs 
I 

2 

3 

ese wsw 
I 



w 




■ 


L 


136 The Mariner's Compafs ReSfijied. 


■ 


1 


Latitude ^^. Degrees. 


Latitude 45 Degrees. 


n 


■ 


. North Dcc-^ 


Dctit. South Dec. 1 


North Dec. 
O" 1 Ofct 
taft Weft 


Dccl. 


South Dec, 


^■j On 1 olct 
■lEzfl Well 


J. in. 


Eaft VVcR 


d. m. 


Qrij Ofet 


o.oa 


0.00 


Eaft Weit 


' 


1 


2,ai 


I 


I 


2.00 


1 


■ 




z 

3 

ebn wbn 


4-03 
6.0+ 

8v04 


z 
e b s wbs 


2 
ebn wbn 


3-S9 


2 
eb 5 w t)3 


5 


1 


t 

z 


ro.04 r 
12.03, * 


I 

z 


9M 

11.51 


1 ■ 


5 


3 
cue wnw 

I 

2 

3 
nebenwbw 


14.011 

»7 54' 

19-50, 

31.43' 
23-34 


.3 

es e ws w 
1 

2 

3 

!c be aw bw 


3 

ene wnw 

1 

2 

3^ 
nebenwbw 


J3-4'' 
J5.42 
17.36 
19.2S 
zi.ig 
33.08 


3 

e 3 e w s w 

1 

z 

3 
scbe swbw 


J 


r 


Latitude 46 Degrees. 


1 Latitude 47 Degrees. 




^B 


1 North Dec-i Oec, 


Simth Doc. 


North Dec. 


Uec. ]ScrUChDec, 


^ 


'Grif0ret]d. in. 


ri 1 © fet 


©11 [sfei 
Eaft Wtlt 


il. m. 


Q rijcfc* 


Hall Wea 


0,00 


Lalt Weft 


0.00 


^iaIt Weft 


1 


1 
2 

(ebn wbn 


i.S» 

3'55 

7-47 


1 

a 

3 
e b s wbs 


J 

z 

i 3 
ebn wb-n 


MS 

7-J5 


e b s wbs l^^l 


w ^ 


94J 


I 

2 


* t 


9-33 
ri.a; 


^^1 
^^4 


[ 3 

■ |ene wnw 




3 

CSC W 5 W 


3 

ene wnw 


L3.17 


e s e w « w 1 ■ 


■ 


1 z 
ncbenwb* 


>7.t7 
,907 

=o.SS 

22.42 


1 

3 

3 

scbe 6wbw 


t 

2 

3 

nebenwhw 


f6.f7 
f3.4s 

33. 16 


1 

1 

3 
nebenwbw 




b 




1 



The AfytiMr*s Compajs iifi^^e4- 127 | 


Ladcude 48 Degrees. 


Latitude 49 Degrees. | 


NorthDec. 


Dec. fioudiDec. { 


NorthDec. Dec. | 


South Dec. 


Qvi 1 ofet 


d. m. 


Oril^fet 


Gri |Ofct£ 


I. m- 


&ri Ofec 


E^ Weft 


00c 


Eaft Weft 


Eaft Weft 


0.00 


Baft Weft 


I 


'■53 


I 


I 


1.51 


1 


z 


3-46 


2 


2 


3.42 


2 


. 3 . 


5.38 


. 5 . 


• . 3 


5-3» 


3 


ebn wbn 


7.30 


eb s wbs 


ebnwbn 7.22 


e b s wbs 


2 


9.2t 


I 


1 9.10 


I 


I 


11.12 


2 


2 10,59 


2 


J 


13.01 


3 


3 


12.46 


3 


ene wnw 


14.50 


eae waw 


ene wnw 


14.12 


e s e wsw 


I 


16.38 


1 


I 


16.17 


1 


z 


18.24 


2 


2 


18.01 


2 


3 


20.07 


3 


3 


19.42 


3 


nej^wbw 


21.49 


sebe awbw 


nebenwDW 


21.22 


sjebe swbw 


1 


23.29 


I 


I 


23.01 


1 


Latitude 50 Degrees. 


Latitude 51 Degrtfcs. 


NorthDec. Dec. 


jSouthDec. 


MorthDec. 


Dec. ;SouthDec. I 


a,ri|©l"et 


d. m. 


On j ;■: fet 


0n \Oiet 


d. m, 
0.00 


On f ofet 


Eaft Weft 


0.00 


Eaft Wett 


Eaft Weft 


Eaft Weft 


1 


1.48 


1 


I 


1.46 


1 


2' 


3-37 


2 


2 


3-33 


2 


3 , 


5.2^ 


, 3 ^ 


^ 3 , 


9.18 


3 


ebn wbti 


7.12 


eb 5 wbs 


ebn wun 


7.04 


ebs wbt 


I 


8.S9 


I 


I 


8.48 


I 


2 


io.4fi 


2 


2 


10.32 


2 


3 


12.3c 


3- 


3 


12.14 


3 


e ne w&« 


' I4'i4)e se wsw 


ene wnw 


'3-^6 


e s e wsw 


1 


»5-5; 


r 1 


I 


>5-36 


I 


£ 


'7-3i 


) * 


2 


17.16 


2 


3 


19.1 


J 3 


3 


i8.;2 


3 


nebenwb^ 


y «o.s. 


; lebe swbw 


nebeiiwbw 


I0.2f 


sebe swbw 


I I22.3 


1 I 


I 


22.01 


1 


i • 1 




23.32 


2 



■ 


^f^^^^r 


H 


■ 




'" 12S The Manner's Ct^mpafj Re^tjied. 


l| 


latitUMC 52 tJegrecs. 


Laricuile 53 Degrees. 




NorthDec. 


Dec. 


S o-.ich Dec . 
ri 1 fet 


North Dec] Dec. 


[SoutliDec. 




d. in 


Oii |Qret[d. m 


0ri |Q fee 




Eai! Wdi j 0^ 


Lalt Wca 


Ealt Wdtj 0.00 


Eaft Weft 


■ 


I 


J. 4.1 


1 


1 


1.42 


I 




■ 


z 


3-27 


2 


2 


333 


z 






3 


S.ir 


3 


3 


5 04 


3 






eb n wbn 


6.S4 


eb a wb s 


enn wbn 


6.44 


e b s wbs 


1 




z 


S.36 


1 


I 


a.2i 


1^1 




I 


10.18 


i. 


z 


10,04 


^^1 




3 


ii-Sft 


3 


3 


1 1.41 


^1 





cue wnw 


'3-37 


esc wa w 


ene wnw 


ij.rg 


e«« Wfw^^l 


■ 


I 


IJ.IO 


1 


I 


'4J5 


l^^l 


P 


z 


16. {3 


2 


2 


in 29 


^H 


[ 


3 


19.:? 


3 


3 


18.01 


^1 


^ 


nebeowbw 


2O.O0 


aebeiwbw 


nebenwbw 


i9-3» 


sebesvi'bw j^H 


■. 


I 


21.31 


1 


I 


ai.oi 


i^H 


R 


z 


23.00 




2 


22.27 

- 


a 


■ 


Latitvide 54 Degrees. 


LaDtudt; 


55 Degrees. 




NonhUec, 


Uec, 'SojihDec. 


NorthDec. 


Dec 

d. m.f 
o.&o 


South Dec. 


\ ri jOlvM 


d, m. 


Gri| !<:t| 


ri 1 Q let 


Gri 1 oiet 


Eall Welt 


0.00 Eaii ^V«il; | 


Eaft Welt 


Kalt Wen 




) 


'■39 


1 


I 


1-37 


I 


H 




2 


31S 


2 


2 


3,13 


■ 




3 


S-S7 


3 


. 3 , 


4-49 


■ 


, 


ebo wbn 


*•!? 


eb e wb£ 


COR won 


6-i; e bs w b s f^H 


^H 


1 


S.3 


1 


J 


8 or 


f^B 


^B 


z 


g.ijo 


7 


2 


■J-^T 


z 


H 


p^^ 


3 


1 1.23 


3 


3 


11.08 


3 


^ 


L 


e nc «iiw 


13.00 


e ■ e tV s W 


ene w nw 


12-41 esc wsw 


^ 


^K- 


I 


'4 33 


I 


I 


14.12 I 


M 


^B 


2 


16. Oj 


z 


2 


i;.4« 1 ,"*^ 


r 


3 


'7-lS 


3 


3 


17.09 5 


1 


1 


nel»nwbw 


i(/.o; 


aebe &wbw 


aebenwbA' 


iS.j; aebcswbw 


^ 


^ft 


1 


20.30 


1 


1 


19.59. ' 


■ 


^™ 


z 


II.J4 


z 


z 


21.21 2 


^ 


[ 


3 


13.1^ 


t. 


3 


23.30 3 


1 


1 


- 


1 


1 





~ d 




The Marintr's Compaji Re^ified, 139 


] 




Latitude 56 Degrees. 


Latitude ^y Degrees 


NoithDec. 


pec. 


South Dec. 


NorthDcc. 


Dec. 


SouthDeC- 


On jo let 


d. m. 


Ori| G>fet 


©ri| Ofet 




©ri| ©fet 


Lall Welt 


0.00 


Haft We a 


haft Welt 


O-OO 


Lalt Weft 




1 


'■34 


1 


1 


I.3Z 


1 


J 


' 


2 


3.09 


1 


2 


3.04 


2 


^J 




5 


+-45 


3 . 


3 


435 


3 , 


'^^1 


^^cb n wbn 


6.]6 


e bs w b s 


eb n wbn 


6.06 


ebs wba 


'^^ 


■ > 


7-49 


I 


I 


7.36 


1 


J 


■ ^ 


g.ii 


z 


z 


9. 06 


2 


^^^H 


■ ^ 


lOJI 


3 


3 


10.34 


3 


^^1 


1 ene wnw 


i:.z2 


esc w sw 


cue wnw 


12.01 


esc wsw 


^^B 


l_ I 


13.50 


1 


1 


13.38 


] 


1 


tai ' 


i^.iS 


2 


z 


'f53 


z 


1 


■ 3 


16.4: 


, 3 


3 


16.16 


3 , 


1 


^H benwbw 


1S.06 


scbe ewbw 


nebcnwbw 


'7-37 


icbe swbw 




■ > 


19.28 


1 


1 


18.56 


1 




■ > 


2047 


£ 


z 


20.13 


3 




F ^ 


ja.03 


5 


3 


21.27 


3 






n. e nw 


13. iS 


se sw 


n e n w 


32.31? 


3 c sw 




Latitude 58 Degrees, 


Latitude 59 Dtgrcea, 


Eift Weft 


0.00 


Eaft Weft 


Eaft Well 


000 


Eaft Welt 




t 


1.30 


1 


1 


J. 27 


1 




^ ^ 


2.59 


2 


X 


a-H 


2 




H 3 


4.28 


3 


3 


4.Z0 


3 




^■eb a wbn 


S-S6 


CDS wba 


eba wbn 


5.46 


eb > wbi 




■ ■ 


7.2+ 


I 


1 


7.1J 


I 




R « 


8.51 


z 


z 


8.36 


M 






3 


10.17 


3 


3 


10.00 


3 






ene wbw 


11.42 


ese wsw 


ene wnw 


11-32 


e te wiw 






1 


1J.06 


1 


1 


12.44 


1 






z 


14,78 


2 


2 


M-oj 


z 






3 


15.48 


3 


3 


15-21 


3 






ne ben wbw 


17.07 


s ebc swbw 


ncbenvtbw 


16,37 


seb'cswbw 




, 


t 


i9-H 


1 


■ 


ly.y* 


1 




■1 ^ 


ig.39 


2 


z 


19.04 


2 




H 3 


Z0-51 


3 


3 


20.14 


J 




^Vn en w 


32.00 


sc sw 


n e nw 


21,22 


ce «w 




1 ' 


23.08 


I 


1 


12,26 


1 




■ 


1 






s 


*^»1-1' ■»■ \ J 


1 





m 




1 


— -"" ^ "t — 

150 ^i&* Maritier*s Compafi Retlijjed, 


i 


Latitude 60 Degrees. fl| 


. 


North IJeciii 


iJtton. 




SiHiih L>ii 1; L.Liion. | ] 




rile 

£aft 


p. M 


rtfe 


D. r/t. 


fet 
Weft 


L 


O.DO 


Weft 


Ealt 


g.o-i " 


■ 


1 


I.2S 


1 




I 


1.2; 


[ 


■ 


2 


2.49 


2 




a 


2.49 


asU 




3 


+.12 


3 




3 


4.1a 


3^H 


I 


e fc/ n 


5.56 


IV by n 




e by s 


i^^ 


* hy * 1 


■ 


,,» ., 


A, 5? 


■ 


' 


1 


o-i9 


'.JU 


■ 


!' 


, 8. II 


2 " 




2 


82i 


'vll 


w 


' 94> 


i 




3 


9,41 


jS^ 




e'n c 


1 1 .oz 


W n w 




e s e 


r I.02 


W S W'j 1 




' 1 


tz.zl 


I 




1 


I2.SI 


1 ^J 




1 


'333 


« 


■ 


- :; 


*J J9 


i^H 




5 


'1 SJ 


i 




3 


H.S3 


J ^^1 




o^bye 


,16.08 


nwbyw 




s ebye 


16. oS 


s w by i| 




1 


,17.10 


1 




1 


17. 20 


1 




% 


18.30 


z 




2 


18.30 


i 




J 


1938 


3 




3 


19-38 


3 




n<; 


20.41 


n w 




s e 


:o.4t 


5 w 




» 


Zi.45 


1 




I 


11.4J 


1 


1 


2 


2z 45 


r 1 


1 


:l 


"M.,, 


2 


i 


r le Defttrptlofl and Ufe of the foregoihg TABLES. 


m 


, 'T* H E S E Tables of the Poirrts of the Compars» 
,* (for the Sitfi, or any Star whofe DEclination exceeils 


w 


f jKjit 23 jcg- 2gin,) begin at LaEitude dcg. and proceed 1 


^fc orileiiy: to 60 deg. (btin^ /ame fou(, foaie two Tables, i^j 
^Bonc P'igc) aivi fixty-oae in alJ. ^H 


^H I. la cach.T^blc ai;e Hvc Columns > the middlcmofl 


^^contain* the Degrees of Declination, either Noith or 


Soutii ; thife rwo on each Side of ir, mafked n'*' O 


fei (under Ncrch or South Declination) fiaud: fflx Sun- 


^^jiJin^ and Sua-ietting. 


■ • 3. The 


^^^■^^^■■■■K— ■ 



The Mariner'i Cunrpafs ReS4jiei.. 



»3i 



3. Tht fiift and fccond Coliunna {uxiAtr North Dtdtna- 
t'on) as alfo the fourth and fifth Columns (under Beuih 
Dfelinstian) contain ihe Point?, and each Quarter of a 
Point of the Compafs, of both Rifing and Setting : Thus, 
Baft, f^f/fy under which is i, 2, 3; that is Eqfl or Weji 
I Quarter, 2 Qitatters, ■^ Quarters, Nertheriy or Seutberly^ 
then E- by N. W. by N. under which is r, 2, 3 ; that Is E. 
by N. or W. by N. 1 Quarter, 2 Quarters Nir/ierfyy bfc. 

Thcfe Tables ate ready Helps for finding the Variation 
of the Compafs with Eafc, and fufficient ExacEtnefs, aajj 
evident from the following Explanation. 

To Jtnd the Paint ff the Compafs that the Sun rtftth or fetitU 
viith, at any Time of the Tear^ "^ 

FIRST, feek the Sun's Declination in the Table 
Declination for the Time propofed; with which enter 
the foregoing Table, finding the Latitude in the Head of 
'he Tabfc, and the neclination in the third Column ; agaixift 
which, on the Left-hand, if it be North Declination, but 
on the Rtght-hanJ if it be South Declinatim, Is the Point 
pf the Cpmpifs that the Sun rifes or fets At, jiccptding Co 
theTicles a: the Head of the Table. 

Notf^ Thefft Tables (hew the true Points of the Sun'i 
Rifiogand Setrijig i fo that you may ireadily know at any 
Time, feeing: the Sun rife or fet, the Variation by an 
dmary Meridian Compafs. 

There are foine Compafles not touched fo well as thej 
ought tp be i others in Time wilt grow weak, or lofe 

magnetic Virtue. 

Now by thefe foregoing Tables you may very readih 
drfcover any of thefe Defers. 

It'may indeed be objcdled, they cannot fee the Sun by aa 
ordinary Meridiao Compos, fo near as is required 




T&e Marifter'j Ccmpafi ReSfiJied. 



» 



To this I anTwer, it's as cafy to fet the Sun by thc_ 
Compafs, as to ftecr a Ship by it -, for expert Sesm^n cai 
fet the Sun, or Headland, to near a Quarter of a Puini 
by their Hand, (but with Sights much nearer the 
Truth.) The Pofture toobfervc in fuch Cafe, I advife 
is thus ; 

Set the Compafs about two Feet liigh» and dir^-cting 
your Hand towards the Sun, note what Point, Half Point, 
or Quarter Point, the Sun rifeih or fetteth on ; then in 
that Table belonging to the Latitude^ fee whether the Sut 
rifeih or fets that Day upon the fame Prtint, found H 
Obforvation ; if they agree, there is nq Variation i but ii 
thi;y do not agree, the L'ompafs is not coie, or there is Va- 
riation j and the Variation is fo much, as is the Difference 
between the ObJervation and the Tabic. 



Example I. Admit 'tn Latitude 30 Degrees North, the 
Sun having g Degrees 44 Minutes North Declination j 1 
•bferve the Sun that Day to rife upon the E.N.E, Point o| 
the Compafs. I demand the Variation. 

In the Head of the foregoing Tables, look for the I^a- 
titudc 30 Degrees; and in the third Column for 9 de^. 
44 min. North Declination-, and againll it (under © rife) 
is E. by N. which {hewcth that there is one Point Variation. 
For it appears by the Table, that the E. N, E. Point on 
he Compafs i& the trueE. by N, Point ; and the E. by N. 
■(as it is upon the Compafs] is the true E. Point j the Eaft 
Point is the true E. by S. the S.E, is the S.E. byS. and 
the Sou;h is the S. by W. the W. is the W. by N. am' 



b: 



This plainly appears by the Rt^ijer^ if you bring the 
E. by N, on the outward Circle, right againft the E.N.E. 
on the inward Circle. 

Now fuppofe we were to obferve the Sun at his fct- 

ng, in the Latitude of .30 deg. with Declination q dcg. 

■4401111, North as abovefaid, wc (hould find the Sun ta 

/ct txaai/ i.i, Wc&i by the Compafs, although in the 

Mornin 




i 



f Tbe Mariner^ Ccmpsfi ReSIifei 

Mornijig we did find the Sun to rlfcat E. N. E. 1 fcn 
this will appear a Cantradi<5iion to fome ; but if yoa 
call your Eye upon the Reaifitfj you may fee it's a cert 
Truth. 

Example 2. In Latitude 37 deg. Nonh, the Sun's Decfl? 
Hation 8 dcg. 58 min. North, I obferve the Sun to rife E. 
by N, by the Compafs ; I demand che Variation 

In the Table that belongs to 37 dcg. againft 8 dcp. 
58 min. North Declination, and under o rife is E. by N, 
which {hewcth there is no Variation, becaufe the Ob 
vation agrees with the Tables. 

Note^i If the Declination for the Day propofeJ be 
the fame with the Declination in the Tables, then have 
Regard to the neareft, aJlowing for the Difference, by the 
Rule of Proportion. 

Example 3. In the Latitude 37 deg. North, fuppofe the 
Sun's Declination 10 deg. 15 min. North, I demand 
Point of theCoinpafs the Sun then rifeth upon? 

In the Tables neareft to 10 deg. 15 min. is 11 d 
12 min. againit which the Sun rifeth £. by N. a Q^iarccr 
N. and fets W. by N. a Quarter N. but En the Tables for 
37 deg Latitude, the Declination propofeti is near about the 
middle, between 8 deg. 58 mtn. and ji deg. 12 min. 
Therefore the Sun lifeth R. by N. half a Quarter N. 
fcttcrh W. by N. half a Quarter N. 

Undcrfland the like in any Cafe, let the Declination 
what it will, and in any other Latitude. | 

Examplt 4. Admit In Latitude 38 dcg. 20m. North, and \ 
Declination igd. 50m. South : The 5iin fifcth upon the j 
jESE. Point of theCompafs; I demand the Variation \ ' 

In the Table for Latitude 38 deg. and againft ig dcg. \ 
41 mjn. (the neareft to the given Declination) is E S.E, 
a Quarter S, which ihewcth that there is a Quarter of a 
Point Variation. For the E.S.E. Point is E. S.E. a quarter 
S. and the North Point is N, a quarter E. For, if you bring 
ESE. aquarter &.on the outward Circle of the J?<^rftr righe 
^gainll E.S.E. on the inward Circle, then iStS-W- on the 

Co meiif* 



'lave I 

th« 
(1 

irccr 
J for ! 
: the 
min. 

n ofi 



U4 



'j'be Marintr^s Cempafs ReSiijicd. 



Compafs is SSW. a quarter W. and SE. is SE. a quarter 
S. and E. is E. a quarter S. And (o for any other Point, 
Half point, or Quarter point, by cafting your Efc upon th* 

Nst/^ Thefc Tables (hew the true Points of Rifing^ am 
Setting, and the outward Circle on the Rgffijitr cioth the 
fame ; but the Compafs, when it differeth from the Tables, 
flicws a falfe Point ; and the inward Circle on the ReSIifer 
doih the fame. J 

Extmpit 5- AJmit in Latitude 47d- 24m. North, tho" 
Declination ijd. 2m. South, the Sun's rifing E. by S. by 
ihc Compafs i I demand the Variation, 

Bv the Tables the Sun {houM rife ESE. therefore there 
is one Point Variation : For if you bring ESE. on the 
Outward Circle of the Rfiflijier^ over againft the E. by S. 
on the inward Circle, then the N. by W, on theCompafs 
is the true North point ; the NW. is the NVV. by N, and 
the S. by E. is the true South Point. 

By this Time I fuppofc the Reader able to difcover how- 
much the Variation is, and how to reckon it without any 
Geometric Demonftration, or Arithmetic Cnlculatioji. 1' 

Ncte., If you have any odd minuty of Latitude, go 11 
that Table nearcft the Latitude you are in. 

1 come now to refolvea Queftton which feme are puzzle 
with J and that is thU : 

^w</?. If the Sun rife at EN^- by any Compafs in any" 
L4titudc, fhould not hefet the fame Day 3t WTnJW. by ihe_ 
fame Compafs, and in the fame Latitude ! 

jfnfwtr. If there be no Variation he will ; but if ther 
be Variation, he will not. The Rcafon is evident by it 

By ihcfe Tables you may know upon what Point of the 
Compafs any of the Stars rife anJ fet in any Latitude the 
Tables contain, either North or South, if the Declinatior 
<(oth not exceed the Sun's greateft Declination. 

Example 6. Let it be required to find the Points of th* 
Compals the Bull's Eje rifes and fets ^itb, in the Latitude 




^ib£ Maritj£r*s Comp&fs Rectified. 



^IS 



The Declipatioo of this Star is j6 Deg, North j in the 
Table that belongs to jod. againft lb Deg. North lJ«c]i- 
nation, the true Point of RiOng is E.N".E. a Quarter N, 
and the truc Point of Setting W,N.W, a Qi_iarter N. 

I Underfiand the like for any other Star, whofe Dec^; 

jtion doth iioi exceed the Sun's greatell Declination. 

77« U/t_ Bfthi RECTIFIER. 

'TpHIS Inftrument, as before defcribed, (in Page 93 ^ 

■*■ aii(l 55J contaiiieth two Circles, or Compaffcs, one 
within the other J but as it i& made of Wood, the one 
moves upon the other, and by it the Cocnpafs, when it va- 
ries, (nay be rcftificd as follows : 

Bring the true Point of Rifing 01 Setting (as the TsWc 
ftieweth)on the outward or under Coinpafs, right againft 
the falfe Point of Rifing or Setting (as your Compafs 
fhewetb) on the inwxrd or upper Com pais j then will the 
under Compafa re<5lify the upper. 

Exampit 7. Admit Jn Latitude 4.5d. N. the Siip'« Decli- 
nation being yd. 56m. South, the Sun fettins upon the 
W, by N. Point of the Ci'jmpafSt I demand the Variation ? 
- The Sun, if there be no Variation, will (tt at W. hy S. 
a d rife at £. by S^ as appears from the Table ; therefotn 
is plain that there arc two Points Variation. 

Bring the W. by S. Point on the outward Coaipafs, ri_ 
againil the W. by N. Point on the inward Compafs ; then 
the Points upon the outward Cotnpals explain the Points 
that are upon the inward ; fo that according O the fore- I 
going Obfetvation, the N.N.E, Point on the Compafs is 
the true North : The North is the true N.N.W. the W. 1 
by N. is the true W, by S. the S.E. by E. is the true E. | 
by S. And fo for any other Point of the Compafs by only 
looking on the Rt£iijitr. 

And thus you may refljfy theComparsj without reckon- 
ing which Way (he Variittion Is, either Eaftw^rd or Weit- 
ward: Thz RtHifer ioing it fo plain, that you can't be 






tpiflakeiii 



I 



^^^M 




^1 


^1 




135 Ti&if Mariner's Compafs Re^ified. 






A T A B L E of Amplitudes, fitting all Places 




from the Equator, to 60 Degrees of Latitude 


1 




either North or South. 


^ 




The Degrees of Latitude. 


■ 


lA 


^V I 


1 


3 


3 
D M 


4 


I> M 


6 


■ ^^^'_l 


D M 


D M 


D M 


D 


M 


■ 





QO GO 


00 00 


00 00 


00 00 


K> OO 


00 


00 




■ 


1 


01 00 


01 OC 


Gl 00 


01 00 


1 OC 


01 


00 




■ 


2 


02 00 


02 00 


02 00 


02 00 


02 on 


01 


00 




P 


3 


03 00 


03 CO 


03 Oj 


03 00 


03 00 


03 


01 






4 


04 00 


04 00 


04. 00 


04. 00 


t>4 01 


0+ 


ei 




s 


0; 00 


0; 00 


05 00 


05 00 


0; 01 


^•"l 


01 


^ 





q6 00 


06 00 


06 00 


06 01 


06 01 


06 


02 




■ 


7 


07 00 


07 00 


07 00 


07 01 


07 01 


07 


oz 




■ 


8 


08 ca 


o3 OD 


08 01 


oS 01 


08 OJ 


:>d 


0? 




W 


m 
ft 


09 00 


□9 00 


09 CI 


09 01 


09 02 


09 


02 




10 00 


10 00 


EO 01 


10 01 


10 02 


10 


03 




"^ It 


1 1 00 


11 00 


II 01 


1 1 01 


r I 02 


1 1 


03 


■^ 




^ " 


11 00 


12 Cj 


12 01 


>2 01 


12 03 


IZ 


c)4h^ 




=^ '3 


13 00 


13 CO 


13 01 


13 01 


"3 03 


IJ 


04 H 




iJ. — 


14. 00 


14. OC 


14 01 


14 Qt 


I* 0? 


'4 


o| 


^M 




15 00 


15 OC 


i; 01 


IS 02 


i<; 03 


'! 


°5 






lb 


16 00 


IP 01 


■ 6 01 


]6 02 


16 04 


lb 


05 




L 


17 


17 00 


17 01 


17 01 


17 oa 


17 04 


'7 


05 




^B 


iS 


I^ QO 


iS oi 


i3 01 


1? 02 


18 04 


1^ 


06 




H 


19 CO 


19 01 


19 01 


ig 02 


19 04 


'9 


06 




^L- ' ' 


20 00 


:o ot 


20 02 


20 03 


iq> OJ 


20 


06 




^pV' 


at 00 


2t OJ 


21 OZ 


zj 03 


21 o; 


21 


07 






^2 00 


22 O) 


22 02 


Z2 03 


2i OJ 


22 


07 




[ i' ^sl-ii OO 


ij 01 


25 ci\i^ 6'Ah 05 


M 


07 






'j-zpfzj 2 2 


23 30 U3 -5 


l\l^ i 


i\i-i •l,<i\l^ 


^"^ 


y 


^^L_=. 


_ - — ^ ' 


_ 


_^ 


^ 







The Mariner's Compafs Re^ified. 


^37 




A TABLE of Amplitudes, fitting 


all Places 


^^■r 


from the Equator, to 60 Degrees of Latitude 






cither North or South. 








The Degrees of Latitude. 







7 
D M 


» 


'J 


10 


" 


12 


D w 


D M 


D M 

00 DO 


D 


M 

CO 


D M 


OQ 00 


00 09 


00 00 


00 00 




1 


01 OO 


01 OO 


01 00 


01 01 


01 


01 


oi 01 






z 


oz 01 


02 01 


02 01 


D2 03 


02 


oa 


02 03 






3 


0] OI 


03 01 


03 01 


03 03 


03 


03 


03 04 






4 


04 C2 


04 OZ 


04 02 


04 04 


04 


04 


□4 0: 


1 
1 


5 


0; 02 


05 C2 


OS 03 


05 OS 


OS 


05 


0; 07 




6 


a6 ci 


o5 03 


o& 04 


06 0& 


Ob 


o& 


06 oS 


1 




7 


°? oi 


07 04 


07 OS 


07 07 


07 


oSf 


07 09 






■0 8 


o3 03 


58 04 


08 06 


o3 08 


oB 


09 


oS 11 


>l 




^ 9 

ri 

'® 


09 04 


09 05 


(?9 o5 


09 cgi 


09 


10 


og JZ 




10 04 


10 06 


10 07 


lo 10 


10 


n 


10 13 


^^H 


"^ II 


11 o; 


M 06 


1] oS 


It )1 


u 


13 


[| 15 






t> 12 


jz oc; 


12 C? 


11 09 


t2 11 


tz 


H 


12 16 






c: '3 


13 06 


13 oS 


M 09 


[J '3 


'3 


>5 


'3 17 






S '4 


14 06 


14. 08 


14 lo 


14 14 


14 


lb 


(4 19 






15 07 


15 C9 


IS ii 


rj 15 


'! 


17 


i; IQ 






1* 


16 07 


16 10 


t6 11 


16 16 


1(3 


19 


16 21 


1 




'7 


J7 08 


17 10 


'7 13 


17 '7 


17 


zo 


17 23 






18 


18 c8 


ti II 


Itt 14 


18 ]8 


lH 


2J 


18 25 






19 


19 05 


19 Iz 


•9 '5 


19 19 


>9 


22 


19 26 




20 


zo 09 


10 12 


zo 16 


20 20 


zo 


M 


10 2E 




31 


Zl 10 


21 13 


21 1? 


SI 3t Zl 


2! 


21 29 






21 


2Z 10 


li 13 


2t 18 


22 32 ZZ 


27 


zz It 






=3 


33 11 


ij H 


n n^Vi-i i-»,V\ 






^J.i^tzj 40 


=3 tsUi s^\*% S^^">- 




■ 




. J 


■ 



H^^^^^V 


1 


^^V 


^ 


n 


1 3 8 "Tbe Mariner's Compafs ReSified. 


^ 


A TABLE of Amplitudes, 


fitting 


«U Places 


^P from the Equator, to 6o De 


grces 


f Latitude 


J 


either North or South. 








H 


The Degrees of Lat 


cude. 




) 


4 




D M 


' + 


^S 


lb 


17 


J 
D~ 




D wi 


D M 


D 


M 


D 


M 


^. ' 


oo oo 


ao 00 


Oq 00 


00 


oc 


oo 


CO 


00 


00 




■ 


01 C2 


0: £□ 


cT 01 


Oi 


oz 


01 


02 


Cl 


03 




K 


o2 03 


O; ii 


C2 Cdf 


02 


0^ 


02 


ot; 


02 


c6 




w 


oj 05 


03 2^. 


03 Ofj 


03 


07 


^3 


08 


03 


09 




^ 4 


0^ Ot 


04 J 6 


04 e8 


04 


lo 


C4 


1 1 


04 


ts 






















5 


0; c« 


0; 09 


05 10 


oi; 


l2 


0? 


13 


ol; 


1? 




6 


06 10 


06 u 


06 1 ^ 


06 


'9 


c6 


»7 


06 


'9 




/ 


07 1 1 


^7 13 


07 15 


a? 


17 


07 


'9 


07 


2z 




a 8 


08 13 


.a J? 


08 17 


OS 


'9 


08 


22 


o» 


25 




■iq 9 


09 14 


^y 17 


09 15 


'■9 


Z 1 


09 


*S 


09 


ZH 


'k 


10 16 


lo J9 


10 II 


ICV 


44 


10 


i8 


10 


3' 




II 1-! 


1 t to 


ti 23 


II 


z7 


II 


50 


II 


34 




? '^ 


12 K 


12 IX 


t2 I; 


t2 


25 


12 


31 


12 


3« 


■ 


!^ 13 


13 20 


'3 24 


'3 V 


13 


3* 


'1 


3* 


'3 


4' 




g ' + 


[4 ;JI 


14 j6 
I IS 


14 50 


H 


3+ 


14 


3y 


"4 


44 




t? a^ 


'5 ^z 


I? 


^7 


1! 


42 


i^ 


47 


iS 


[6 2& 


irt 3'. 


'6 3? 


16 


40 


16 


IS 


16 


^' 




17 


rj -it- 


17 31 


17 3" 


17 


42 


'7 


4H 


'7 


^+ 




*a 


t» 30 


13 H 


IS 39 


l» 


4? 


lU 


S' 


18 


5« 




>9 

^^ 30 


19 31 


19 36 


19 42 


i<3 


48 


'9 


54 


10 


01 


4 


20 33 


20 3S 


20 44 


20 


^' 


20 


^7 


21 


0^ 


■ 


11 3s 


21 4'.. 


21 46 


2t 


S3 


21 


oo 


22 


oif 


n 


^/ ^'^ 


'" 37 


iz 43 


ai 49 


£3 


56 


21 


04 


23 


iz i 




2J ^l 


in 


S« 


^'* 


06 


'+ 


'L -B 


24 I4\ii 


■^Bifc 


■llll^ 


di 


^^1 





■■i 


■■I^B 




H 


■ 




The Mariner's Compafs ReSIified. 


1^ 


3 


k TABLE of AmplI 


tudes, fitting 


all Places 


^ 


from the Equator, to 


60 Degrees of Latitude 


1 


w 


either NortN or South 


. 






TKe Degrees 


of Latitude. 




■ 




'9 


SO 

I> M 


- 


22 


2 

D 


J 
M 


H 


■ 


m 


D 


M 


D M 


u mIH 


F 


G 


00 00 


00 00 


00 


00 


00 CO 


00 


00 


00 00 


^ 


[ 


' 


01 03 


01 C4 


oi 


04 


01 0; 


01 


OS 


oi 06 


1 


^ 


3 


OZ O7 


02 08 


oz 


ca 


02 09 


02 


10 


02 13 




■ 


3 


03 10 


03 12 


°3 


'i 


03 14 


03 


»5 


03 3: 




■ 


4 

s 


04 14 


04. 16 


04 


*7 


04 19 


04 


21 


04 Sj 




■ 


OS 17 


05 15 


0; 


2! 


05 23 


0; 


26 


05 z8 


■ 


6 


06 21 


□6 23 


06 


26 


06 38 


□6 


3» 


06 34 




■ 


7 


■"7 24 


07 27 


07 


10 


07 33 


07 


37 


07 40 




■ 


a a 


0^ zy 


o3 3« 


08 


u 


08 33 


08 


42 


08 46 




■ 


*5 9 
o '0 


09 31 


09 3s 


09 


39 


09 43 


09 


47 


09 S' 




I 


10 35 


10 39 


10 


43 


10 48 


10 


S' 


10 57 


■ 


-^ 1 1 


11 3S 


1' 43 


11 


48 


II -SI 


11 


S« 


Jz 03 




■ 


!?^'^ 


|£ 42 


12 47 


12 


52 


.2 s« 


ij 


«3 


'3 •'O 






^ '3 


I J 46 


13 S' 


'3 


57 


14 03 


H 


09 


14 IS 






S li 
b) T 

P H 


1+ 50 


'4 55 


iy 


01 


15 08 


'S 


M 


is 21 


- 




>S 53 


id 00 


16 


06 


16 13 


16 


2D 


16 27 


L 


i6 


16 57 


17 04 


17 


11 


17 18 


r7 


26 


>7 34 




■ 


'7 


18 Oi 


tS 08 


iH 


»5 


iS 2j 


tH 


3' 


18 40 


1 


^ 


l8 


ly ©5 


t^ 12 


'9 


20 


19 2S 


19 


37 


J 9 46 


■ 


^ 


'9 

20 


JO 08 


20 16 


2a 


24 


20 33 


20 
11 


42 
49 


20 5z 


r 


ft 


11 It 


21 10 


21 


39 


31 39 


zi 59 




■ 


21 


Z2 ]6 


22 z; 


22 


34 


23 44 


22 


SS 


»3 07 




■ 


22 


Z^ 2D 


23 29 


23 


39 


33 SO 


24 


01 


24, 11 


V 


■ , 


23 


24 24 


»+ 54 


24 


\\\^^ V^V-s 




m 


^J.lffh^ 58 


25 o8\j^ 


\%\a^ 1 


^)\1 


lu 






, ^H 


^H 



^^ 








^B 




1^.0 The Mariner's C&mpap Re^ified. 




■ 


A TABLE of 


Amplitudes, fitting all Places 




from the Equatorj to Go Degrees of Latitude 


^ 


p 


either North or South. 




J 


The 


Degrees of Latitude. 




^ 




2S 


2 


6 
M 


27 

D M 


li 


29 

J> M 

JO 00 


30 


D M 

DO 00 


D M 
00 o< 


D 

00 


M 
00 


h 





OS 


PC 


^0 00 


' 


01 o6 


01 


07 


0| 08 


01 oij 


01 09 


01 


09 




z 


OZ IZ 


oz 


U 


Ox IJ 


02 16 


02 17 


02 


it 






3 


03 I'i 


□3 


aq 


03 aj 


03 24 


03 zb 


03 


2f 






4 


0+ 25 


+ 


^7 


0+ 29 


04 32 


04 3+ 


04 


37 




-5 31 


OS 


33 


o; 37 


0; -jO 


oj 43 


Oj 


46 




6 


06 37 


0& 


4' 


c6 44 


06 4« 


q6 52 


0& 


^6 






7 


^7 43 


07 


48 


07 51 


□7 56 


qS 01 


OtI 


06 






o a 


08 50 


Oij 


54 


08 59 


09 04 


og eg 


09 


'S 






CO g 


03 56 


10 


01 


10 d6 


10 13 


15 iS 


to 


24 




II 03 


11 


c8 


II 14 


II ZI 


II *7 


II 


34 


M 


-> 11 


12 CQ 


1 2 


^5 


[1 2] 


12 23 


u 36 


IZ 


44 




■ 


y " 


13 [6 


'J 


23 


13 30 


'3 37 


"3 4; 


13 


S' 




■ 




14 22 


'4 


3 


1+ 37 


14 4$ 


U S4 


*l 


03 




P 


.; 29 


^S 


3? 


'S 45 


>! 54 


16 0., 


lb 


iz 




r 


b' 


.6 3S 


\C 


44 


16 53 


17 o^ 


17 I* 


17 


23 


^ 


■1 


i6 


17 42 


17 


>' 


18 01 


i3 I 1 


•8 li 


Itt 


3* 




■ 


»7 


18 49 


i3 


9 


■ 9 09 


ig 2- 


19 31 


'9 


43 




■ 


i8 


19 56 


:o 


06 


io 17 


id zg 


lo 41 


20 


S4 




F 


'9 


21 0; 


11 


t3 


ZI 3J 


11 38 


21 I 


22 


OS 






»o 


22 10 


ti 


21 


" 31 


12 48 


z-\ oi 


23 


16 






1 *' 


2, IS 


M 


3'^ 


23 43 


M 57 


1\ IZ 


14 


27 




J 


/ « 


24. 31 


»« 


17 


14 51 


1% Cit 


2; za 


8S 


s« 




11 '^hs 3^, 


2; 


46 


26 01 


16 16 


1(1 32 


20 


49 




^/^3 2pli6 oSh6 


«1 


tb %-]\\b %-i.\v\ Ci-Vi 


^ 



^■1 


w^^ 


^ 


^ 


■ 


The Mariner's Compafs Ke&lficd. 


14- 


J 


fl. TABLE of Amplitudes, fitting 


all Places. 


d 




from the Equator, to 6o Degrees of Latitude 


J 


1 


either North or South. 


1 


* 


The Degrees of Latitude. 

■ 




51 
D M 


** 


3; 


34 


3 


5 


30 


D M 


D M 


D M 


D 


M 


D M 


p 


o 


00 00 


00 00 


00 00 


CO 00 


00 


00 


00 oa 




[ 


1 


01 to 


oc 10 


01 11 


01 11 


01 


13 


01 14 




w 


2 


ox 19 


02 21 


02 23 


02 2; 


02 


«7 


02 ag 




■ 


3 


03 30 


03 33 


03 3S 


oj 38 


03 


40 


03 4J 




^ 


4 


0+ 40 


04 43 


04 46 


04 50 


04 


53 


04 57 




1 s 


0; so 


^5 54 


OS 57 


06 Q! 


6 


06 


06 11 




' 


6 07 00 


07 05 


07 09 


07 15 


07 


30 07 2J 






7 oS It 


q3 I& 


oS 21 


oi 27 


08 


33 


0^ 40 






U 8 09 21 


09 a? 


09 35 


09 39 


"9 


4C 


c9 S4 








10 31 


to 38 


10 4S 


10 ;z 


11 


10 


II cS 






I] 41 


1 1 4$ 


ti S5 


12 03 


12 


It 


12 21 






•^ II 


12 52 


13 00 


13 05 


13 18 


13 


z» 


'J 39 






12 


14. oz 


14 II 


14 21 


14 3a 


>4 


43 


H S4 




1 

1 


2. 13 


IS '3 


IS 13 


•S 33 


>S 44 


'S 


56 


16 og^^ 


1 


n 14. 


16 2> 


l6 33 


16 45 


16 57 


'7 


'10 


^P^ 


1 


17 34- 


17 46 


17 58 


tg II 


iS 


35 


[3 40 |] 


b 


16 


i« 4+ 


i» 57 


19 1 1 


19 25 


19 


4'^ 


LQ tC^H 


■ 


<7 


19 56 


!0 10 


20 24 


20 39 


20 


55 


ih|H 


■ 


t3 


zi 07 


11 21 


t\ 36 


^' S3 


2Z 


10 


22 syF^ 


F 


15 


zi 19 


'» 34 


J2 ;o 


»3 07 


23 


'5 


'irM 


io 


zj 31 


^3 47 


?4 04 


24. 22 


24 


4' 


■ 


21 


H 43 


z; cc 


i; 18 


as 37 


*S 


56 


ij^H 


m 


ti 


*S 5S 


16 13 z6 32 


a6 52 


J7 


>3 


27 3$PH 


[ 


*3 


17 07 


28 oj ift xi\-t% »,s^i 


■L^Vis. v-x^ 


^^ 


t^ 


27 .41 


CI ^^\a« 


^1 


^ 


^ 


- . 


.-M 



1 



^2 The Murimr'i Cmpafx Re^ified. 




A TABLE of Amplitudes^ fitting all Places 
from the Equator, to 60 Degrees of LiiU 
tui^ecither North. orSoiitl?. 



■ 
I 



The Degrees of Latitude. 






37 



D M 



Ct 


00 


00 


I 


01 


'5 


a 


o: 


30 


3 


o) 


15 


4 


0; 


00 




M 


3 





40 
D M 


D M 


D 


M 


00 OQ 


00 


00 


00 00 


ot 16 


01 


n 


01 ]8 


oz 32 


02 


34 


02 j6 


oj 48 


03 


S' 


°i S4 


0; 04 


05 


oS 


OJ 13 


06 Jt 


06 


?6 


c6 32 


0? 37 


07 


+3 


07 JO 


a8 54 


09 


01 


op 09 


10 10 


10 


19 


>o x8 


ti 27 


n 


37' 


II 47 


13 43 


iz 


S+ 


I] d6 


14 01 


»4 


13 


[^ 26 


15 18 


»S 


3 J, 


'5 4J 


16 35 


i& 


49 


17 P4 


17 52 


1)4 


qS 


[8 24 


ig 11 


19 


28 


'9 4S 


iQ aS 


to 


46 


11 05 


21 4ft 


3.Z 


06 


22 16 


13 OS 


23 


ij 


M 47 


14 20 


14 


46 


25 09 


?S 43 26 


q6 


26 jo' 


?7 01 17 


17 


*7 S3 


18 2J 


28 


49 


29 |6 


*9 4J 


3* 


II 


30 40 


JO 24 


P 


S* 


■i\ 11 



D M 



00 QS 

01 20 

02 39 
05 18 




^' 


The Mariner' i Compafs ReStiJted. 14^^ 


^ 




A TABLE of Amplitudes, fitting all Places 




from the Equator, Co 60 Degrees (^Latitude 




h 


either North or South. 


to 


■. 


1 


- 




1 


"he Degrees of Latitude 


1 


■ 




43 '14 


41 


^tJ 1 47 


4!l 


■ 


P 


D M D M 


D M 


D M p M 

00 00 00 00 


■ 







CO 00 


00 00 


00 00 


00 o*. 


■ 




] 


0[ 22 


01 2J 


01 25 


01 26 


01 2? 


Dl 39 


^ 




z 


oz 44 


02 47 


02 50 


oz 53 


02 S^ 


02 59 




^ 


3 


04 06 


04 10 


04 15 


04 19 


04 24 


■0+ 29 




■ 


4 
S 


OS 28 


OS 34 


oj 40 


05 46 


OS jj 


^5 59 




■ 


t6 51 


06" 58 


07 P5 


07 12 


C7 2o 


07 29 


■ 


6 


08 13 


o3 21 


■oS 30 


;a3 39 


d8 49 


oa 59 




■ 


7 


09 3S 


oj 45 


09 56 


10 06 


10 id 


10 je 




■ 


8 


Id $8 


II 091 


11 ai 


U 34 


u 47 


iz 09 




W 


c| y 


12 2J 


II 34 


12 47 


rj 01 


IJ 16 


'3 31 






»=■ 


'3 44 


.3 5S 


"4 13 


14 zS 


14 >4 


1; 02 






-» 11 


IS 07 


H 23 


'5 38 


IS i6 


16 XJ 


>6 34 






?'^ 


i6 31 


.h 4S 


17 06 


17 25 


'7 45 


i9 06 






a. 13 


'7 JS 


18 13 


18 33 


'8 54 


19 1& 


19 39 




^ 


S H 

g— 


19 18 


'9 39 


ZO Oo 


20 23 


JO 47 


21 12 




P 


20 43 


2 1 05 


21 28 


21 51 


22 iS 


22 45 






16 


21 08 


iz 32 


2i 56 


»J "3 


1) 50 


24 2b 






17 


33 34 


2^ 59 


24 IS 


M 53 


^\ ^ 


'S ss 




■ 


18 


=4 59 


25 a6 


2S 54 


i6 2; 


26 57 


27 31 




^ 


'9 


2fi 25 


z6 54 


27 i; 


27 s8 


l9 ti 


zg C7 




10 


*7 S3 


28 ij 


28 56 


29 31 


■30 07 


30 45 




21 


29 CO 


29 23 


30 27 


3» 03 


Ji 4* 


32 33 




2Z 


30 43 


]L 2t 


3» 58 


34 37 


31 "8 


34 °3 




2J 


32 J6 


32 51 


35 30 


34 »* 


34 56 


?5 4^ , 




2319 


n 05 


53 4^ 


lA ^°\3.S ^Vv^S '^V%'* "^ 


^ 


■_ 


1 


i 





i^ 


^^ 






^^ 


~m 


r 


The Mariner' 


s Compa/s Re^rfied. 




2 


A TABLE of Amp] 


tudes, fitting all Places 


I I from the Equator, 


to 60 Degrees of Lati- 


1 


1 


tude 1 


either Nort 


h or So 


uth. 






















The Degrees of Latitude. 






3« 


49 


.0 


5' 


5* 


S3 


D 

00 


4 
M 




P 
oo 


M 

Oo 


D M 

QO eg 


D 


M 


D M 


D M 


b 


00 


00 


00 00 


00 OO 


oo 1 ^^1 


■ 


1 


Ol 


3» 


01 3i 


01 


35 


01 37 


01 39 


01 


42 


^H 


■ 


Z 


OJ 


03 


OJ 06 


03 


10 


03 15 


03 20 


°i 


24 




■ 


J 


+ 


34 


04 40 


04 


40 


04 52 


04 59 


0? 


06 




^ 


4 


□6 


06 


06 14 


Ob 


23 


06 30 


06 39 


06 


49 




5 


0? 


J^ 


07 48 


07 


E« 


OS oi 


oit 19 


08 


3t 




6 


OS 


[0 


09 zl 


og 


33 


09 4& 


10 DC 


10 


'S 






7 


10 


4^ 


10 55 


II 


09 


1 [ 24 


II 40 


II 


57 






O S 


IZ 


'4 


[2 29 


12 


4S 


■ 3 02 


13 21 


•3 


4' 









'J 


47 


14 05 


' + 


24 


'4 43 


14 04 


ij 


26 


1 


1! 


21 


"S 40 


16 


01 


16 13 


16 46 


'7 


11 






i6 


14 


If 16 


17 


39 


18 03 


18 29 


iH 


57 


^ 




iS 


2$ 


18 $1 


'9 


iti 


■9 44 


20 12 


zo 


43 


1 




?'3 


to 


01 


zo 29 


to 


!7 


zi i6 


21 57 


22 


30 




h 


o"— 


IL 


3« 


S2 06 


22 


37 


23 08 


23 4! 


-4 


lU 


■ 


ai 


H 


«3 45 


H 


iS 


H 52 


25 28 


s6 


07 


i6 


z6 


5* 

zS 


1; 24 

17 03 


25 

=7 


59 

4' 


26 36 
iS 21 


27 16 

=9 04 


^7 
^9 


S8 
SO 


■ 


IS 


z% 


06 


»8 4J 


29 


Z4 


30 07 


3'^ 5 3 


3J 


42 




'9 


^9 


45 


30 a; 


31 


Ob 


31 ss 


32 45 


33 


3a 


20 


tl 


29 


32 a 


3* 


54 


33 44 


34 39 


35 


3S 


ta " 


tl 


06 


33 S* 


34 


41 


35 34 


3& 51 


37 


3* 




B ^' 


H 


48 3; 37 


3^ 


30 


37 27; 38 '9 


39 


zb 




■ ^w 


>6 


Ji S7 =6 


J« 


23 


39 2+:4C^ ?9 


4' 


40 




1 


J-'9fi? 


26 38 20 


59 


i'^ 


Uo ^^ V ■^'5 ^' 


4^ 


^ 






^ 


s ^ 


^..^l 



IP 




^^^H 




Tbi Mariner' J Compafs Re^ijied. 145 


1 


. 


A. TABLE of Amplitudes, fitting all Places 


^H from the Equator, to 60 Degrees of Latitudel 


.■ 




either North or South. 


I 




The Degrees of Latitude. 


^^^1 

M 

^^^H 




D M 

00 00 


5r> 

D ,v; 


S7 


S8 


59 


&o 
D M 


D M 


D ivi 


D M 


hs 


00 00 00 00 1 


00 00 


OQ 00 


00 00 


^^B 


01 +5 


01 47 


01 50 


01 S3 


01 56 


02 04 


^H 


^B 


oi 29 


03 34 


03 40 


OJ 46 


03 53 


04 00 


^H 


HH 


0; 1+ 


05 22 


oj 3' 


o; 40 


05 JO 


06 00 


^H 


Q-^ 


06 59 


07 10 


07 2Z 


07 34 


07 47 
og 45 


08 01 
[o 02 


■ 


08 44 


08 57 


□9 II 


og 26 


^^m 


10 JO 


10 ^7 


II 04. 


II 1Z 


II 42 


11 ^4 


^^1 


^H 


12 1; 


la 35 


12 ;6 


13 18 


13 41 


14 ct, 


I^H 


^V 


8 


14 01 


14 z; 


H 4ft 


IS 14 


15 41 


16 10 


^^1 




w 9 


15 49 


16 14. 


16 45 


r7 10 
iQ 07 


17 41 


ii^ 14 

lo 18 


I 


»7 37 


iS 0; 


'S 33 


19 41 




-> 11 


19 £6 


19 JO 


10 39 


21 04 


21 43 


2X 26 


^H 






21 15 


ai 49 


!£ 25 


2J 04 


»i 47 


H 34 


^H 




n 05 


aj 43 


14 13 


25 07 


*s 5+ 


26 44 


^H 




I 1 + 



»* 56 


*5 37 


id 21 


27 09 28 01 


zS 55 


' 


16 49 


«7 34 


:8 23 


29 14 30 12 


31 09 


m 


16 


»8 4J 


=9 32 


30 24 


31 21 


32 22 


33 *7 




■ 


17 


30 39 


J» 3> 


32 a? 


33 28 


34 32 


35 47 




■ 


18 


33 3S 


33 33 


34 34 


35 40 


36 53 


58 OS 




p 


'? 


34 3S 


35 36 


36 40 


37 54 


39 »J 


40 36 

4J "^ 

4S 4* 


1 


20 


36 36 


37 43 


JS iJ 


40 11 


41 37 




Z1 


j8 JQ 


39 S« 


41 09 


41 31 


44 o; 


' ■ 


^ 


22 40 +7 


+» 04 


*3 27 


44 59I4& 4' 


; 4S 3^1 ^^m 


■ 


S3 4* 5** *♦ '9 


*5 5°U7^ nV?^ ":-\';i. sA, 1 


■ 


47 02 \^ -VO^S^^ 


« ■ ^^' , 1 * i 


■ 


F _ 1 ■■ JL" 


-.-- 


^^1 




The Mariner^s Compafs Re^Jied. 




T 



Thi Vf* ef the TaBIet ef Amplitades. 

HE Sun or Scar's Amplitude is the £)]flance of tht 
Rifing or Setting of the Sun or Star from the Eall or 
Weil Point of the Horizon, in Degrees and Minutes, 
reclconedin the Horizon > either Nortberly or Southerly. 

Wj/e, When the Sun or Star's have Noi-ih Declination, 
they rife to the Northward of the Eiftand let to thcNorth- 
warii of the Weft : But if their Declination be South, 
thef rife to the Southward of the Enftj antl fet to (he South- 
ward of the Weft : And by thefe Tables the Amplitude ls 
Cthut found, viz. 
L^pjc the Latitude in the Head -nf the TablcSi the Decli- 
nation in the Hrft Column on the Left-Hand ; and in the^J 
common Angle of Meeting is the Amplitude required. ^H 
Axampk f. In the Latitude of 30 deg. the Sun's Decli- 
nation being 7d. Oxn. North, I demand the Amplitude ? 
Aafw. The Amplitude is 8 deg- 6 min. For under La- 
titude 30d. in Page 140, and againrt Declination 7d, you 
will find 8d. tm, which is the Amplitude from the Llaft 
Northward at Sun-riftng» and from the Weft Northward 
at SuO-lctting, But if the Declination had been yd. 01 
Sotith in Latitude jod. as aforefaid, then the AmpHtu< 
would have been Sd. 6m, from the Eait Sauthwai'd 
Suft-rifing, and 8d, 6m. from the Weft-Southward at 
Suft-fettjng, 

If there be any odd Minutes of Declination, talte 
Proportional Parts. 

BxavipUT- In the I/iitltudt of 4.jd. ;jpva, the Sun 
Declination being i2d. 15m. 1 demund the Amplitude? 
Jnjw. The Ampl. is r6d. 43™. found as follows ; Ac- 
I conIii>g to the former Dtrcflioiis, for the Lat, of 4jd, 

L ani DecliK. bdng j J^ |d. the A™pl. i.{ \f,- ■'- 

^KuMntiSy and their DiffeieneeiB ■ id. azm* 

^^ Then 



Then ia^, e|s id. or 6om, is to id. 22tn. or ^im. To is 
l.^m. to 20tfi. tontudiOs hereunder^: 

If 6om-. give ■ 82m. whatihall 15111. ? 

■ ■ 15 ■ 

■ . ' 4^° 



^[o|i23io(2cm. Proportional Parts, 
. 03O Remainder. 

L^t. 4.2d. and Decti^. 13d'; the Amplit. is i6d. : 15111^ 

To it sod the proportional Parts above ood. : 20m. 

.Gives A.mfijtude for Declin. lad 1501. to be ]6d. : 3501. 

Ag^A.) for.Lat, 43d. f i27deg< Ampl. t i6d. : 3101. 
and Declin. - - I 1.3 j — -r^ia 1 . ■ . | i7d. : 5510. 

Sub{lra<3ed makes thoDifFercficeto l>e— — — id. : 2401. 

Their lay^ As 6om. is to id, 24m. or 8401. fo is 15m, 
to 21 th. found as hereander : 

If 6001. giye ■■ 84in. what ihall 15111. 

420 
84 



6[o)i26[o(2imin. Proportional Pares. 
06 u. 



00 Remainder. 

D. M. 
Lat. 43d. and Declin, 1 2d, Amplitude Is — — ^ 16 : 3r 

To it add the Proportional Partj above * 00 ; 21 

Gives forDedination i2d. I5(n. the Amplitude is 16 : 52 
Now bccauic the given Latitude 42d. 30m. is in the 
middle betwetn 4ld. and 43d. therefore the Mediu?} ot 
the Amplitude befoie foun^, is the Amplitude rfOLuired. 
-afidis thui : , , 



148 7!&tf Mariner's Compajs ReSftfied. 



iat. J J^ld. Decl. lad. 15m. the Amp], is \ J^j' ! 
Ldded together, is — - 



i6il. : 35in, 
5201. 

33d. : 27m, 



The half is the Amplitude requircd- 



.i6il. 



¥ 



^ 43'"- 

Thu5 may the Amplitude be found for any odd Minutes of 

Latitude or Declination, chough the Table is calculated 

for whole Degrees only. 

By this Table the Variation of the Compafs is mod rca-j 
dity found ; for by the Azimuth or Amplitude Compafs find 
the Sun or Star's Magnetic Amplitude, at their Rifing or 
Setting; and their true Amplitude [according to the Lati- 
tude {of the Place, tnd thetr Declination) by this Table; 
the Difference of thefe Amplitudes (when both are North 
or both Somh,) but their Sum (if one be North the other 
South) is the Variation of the Compafs. 

But by ^e Rt£1lfier it is moft eafily done thus : 

Bring the Magntcic Amplitude (on the upper or inner- 1 
moll Compafs) right againi^ the true Amplitude (on the 
lower or outermoft Compafs) then doth the North Point 
in the upper ftand n^aiiift the Variation in the lower^ and 
the upper Compitil. i^ explained in all its Farts by thcj 
lower Compafs. 

Exampli I- Suppgfe the Magnetic Amplitude at Son- 
riftng (found by the Azimuth or Amplitude CDn:ipBr£J be 
Eaft Southerlv ( isd. 301". and the true Amplitude (accord-j 
ing to the Latitude of the Place, and the Declination of 
the Objeit obferved) be Eaft Southerly i6d. 45^. 1 1~ 

and the Variation of the Compafs ? 



By the RtHlfiir. 



Bring J5d. 30m. Eaft Southerly on the upper Compafs, 
againft ^bA. 45m. Eaft Southerly on the lower Compafs* 
Then doth the North Point on thr firfl ftand righi agaitift 
ud. 15m. North Ealterly en the Litter; fo that th« Coni- 
puie doth vary i id. ijni. or one Point Eaft, 

ExianpU 



^>""« 



il 



7'he A^rtnfr*s Corapafi ReSii^ed. 145 

True ^ . . C ojd. OOm. Eaft Northerly. 
Magn. ( ■^"'P'' ; i5d. 30m. Eaft Southerly. 
I demand the Variation of the Compals ? 



E^^. i. 



By the Reaifier. 



4 



Bring i5d. 30m. Eaft Southerly on the upper Compafs,' 
right againft 7 Jeg. Eaft Northerly on che lower Compafs, 
then the North Point on the fi:ft ftands againft 22 dcg, 
30 min- on the latl, North Weftefly, that is two Point* 
Welt Variation. In like Manner for any other 5 ancl thus 
the Variation is moit readily found. This RECTIFIER 
is made of Wood 



il 



The APPENDIX contains the Defcrip- 1 
tion of fuch Instruments as are moft 
ufeful in Navigation- 



The Defcrtption and Ufi-of^i/x For§*ftaff, 




(for prcferilag the Eve),t„ ,_ „.^ . .. .„ 

alfo a Craff.Siaff from its form ; being a Square Staff with 
three or four rlcce» of Wood acrofc it, whith arc called 
Crollcs, or Van«s. 

K3 



_r^D Yhe Mkriner's Ccmphfs ReEftfieS. 

. riie Staff is ufually about 30 Inches, or 3 Feet long,.] 
Itfd more than half an Inch Square^ havldg four SidcG^.] 
each graduated unequally like a Scale of ' jdgcnts. To* 
each of them belongs a tliitinft Crofs ; though fometimcs 
ihe fliorteft Crofs is made to ftrve two Sides of the Staff j 
that is, the Breadth is for the Tenth-Crofs, and the Length 
ftr the Thirty-Crofs. Befitles this, it h'ach (*o CroiTcB 
rtiore ;. the longeft is the Ninety-Cfofs, and the other is- 
the Sixry-Crofs. The four Cttifies are thus td be under^i 
lood.' v'z. 



10 



Crofs bc-longs to that | 10 
Side begiiiniijg at N 20 



' and ending at 



9tt 



The Figafeof the T$ri-^aff, 



iVt< 





1^ 

;od. 



9v&f Mariner's Compafs ReSii^d. 



7hi Ufe sf tbt Fore- Staff. 



■n E F O R E The InvrnttoiT of SadUfi Quadrant it was 
*" *..<minoii and or<ti£iarjr :i.t Sea, (o take the Meridian 
Alti.ude pf the Sun or Star with (his Inltrtimejit, and bj 
it to iind die L tHude The Ship is in 

To peiionij which obfervethe Precepts following 

3. Nou. The JO, 3D, 60, and goCrofs, ^re to be u 
accordin;! .n the Meridian Aiiiiudeia more or kfs; that is, 
ifiafs.thar jod. uferhe 10 Crofs ■ if between io2nd3od. 
ufe the 30 Crofs i if herwecii 30 »iid 6oc3. the 60 Crofi, 

,motK :iiar; 60, uJe tbc 90 Crofs. 

,'..■:{. H.vrnt, co^.fldered which Crofs I'according tot' 
.judi'td Aliitude of ihe Objev^ Intended 10 be obfei'ved) 
( i& ii(ital)le, put it r.n tht Stait', fo that the flat Side oi' the 

Crofs may be Cow-nrds tht- flat or Square tnd of the Staff; 
wThen, 

.. 3. HmII the fldtEiidof theStafffasat A) (o the Corner 
i-of .your Eye ; there Jet it reft upon your Eye Bone, as near 

the Corner of your Lye as you can, lo It doih not h'tnder 

youi Si^ht 

4. Then look to the upper End of your Crofs fas at C) 
:for tije .Sun or Star, and at the lower End (at B) forj 

5. Bui if at the lower End of the Crofs you fee 
Slcv and no Water, then draw the Crofs a little nearer to 

your Eye. 

6. Jfon the conCtary, you fee all Water and no Sky* 
then Hide the Crofs a little farther from you. 

7. Then, if you fc- the Center of the Sun or Statat the 
iih^per End of the Crofs, and the Horizon at the lowfcr 
End, the Crofs Hands as it ought. 

8. Wait till the Sun or Stat be on (he Meridian, iBakrng 
Obfervations often ; ard as the Sun or Star rifcth, draw 
the Crofs a Jitlle nearer to your Eye, 

i.> 9. If the Sun or Star be fallen, you will not fee the 
- Horizon, for the Water wili hide it from you, and then Ob- 
ferying Js over at that Time. Stii wo^. •Op.^'^^C''^^ "o^^ "^^^^ 






iacct 



p 



%§t fhe Mariner's Ccmpafs Rc^iji&d, 

of the Staff belonging to it ; and the Degrees arid Minutctl 
cut by ihe Edge of ihc Crofs is the Meridian Ahitude or- 
Compkment thereof, according to the Word Alt. or Comp^ 
cn cbe Staff. 



Hm) to ufc tht Forc-StafF backwards. 

'T'HIS is only ufed with the Sun, and for this Purpofe"' 
•*■ the Tcn-Crofs haih another Piece of Wood or Ivory 

fiut acrofs it i io that the lower Edge of this Crofs Piecoj 
ieth even with the middle of the Square Hate in the Ten-* 
Crofs, which alfo atifwers to the middle of the Thiclcnefs 
of the Staff. 

There is a!fo a Plate of Brafs with a Hole in it, and fo 
fitted, that it will fiide on and fit the Entls of the go, 6o» 
or JO Crofs, thefc two Things added to the F'orc-ftaff 
oiakc^ it fit for a backward Obfervation of the Sun, whicl] 
is ihus^ \jiz. 

1. According as the Meridian Altitude of the Sun, is i 
ore or tefs, fo ufe the go, 6o, or 30 Crofs ; putting it on 
e Staff, the flat Side of it exadlly even with the flat End 

the ScafT, there fcrcw it faft ; and at one crid of the 
'roft, ilfp on the foiefaid Brafs Plate, fo as to leave a (lit 
ighi through ft, nc.ir the lower End of thu- Crofs. . 

2. Put the Ten Crofs (having a Crofs-piect on It as I 
aforcfaid] on the StaE, the flat Side of it towards the och«r 1 

rofe at the Staffs End. 

3. Turn your Back to the Sun, look through the Slit 
n the Brafs, at the lower End of the Crofs, for the Sha,- 1 

dow St the upper End of it, hing on thcTen-Crofa in the I 

X-ine anfwering the middle of the SiafF, aqd on each Side I 

f the Staff. I 

4. At the fame Time theHori/.ori fhotild be feen (ihro' I 
e aforefiiid Slit) to lie even with ths Shadow on the j 

middle Line, in theTen-Crofs j and at each End of it, oa j 
(lolb Sides the Crofs. I 

J, In locVing through (he Slit in the Brafs, you muft \ 
bring tiie Si)4tlovv upon the mi(!dlc Line, aivj if infread of 
Ske Boiizon you only fee Water there, then draw the 



^^R' 




eft; I 
ear- I 

i 

low 



^ The Mar'mer's Qom^ajs RiSiiJiid 

Ten Crofs nearer, till the Shado* ajid Horiion agree. 

meet in the faid middle Line. 

6. On Ehe conlraryt looking as before^ if inftead of 

Horizon you fee Sky meet the Shadow on the middle 

Line; then put the Ten-Cfofs from you, (till you fee 

the Horizon ajid the Shadow meet together) on the middle 

Line- 

•j. Continue obfcrving till the Sun be at the higheft; 
and as the Sun rii'elh, you muft draw the Ten-Crofi near- 
er, in order to k<:ep the Horizon and Shadow together 

the faid Middle of it. 

8. If tlieSun-be fallen [zhsr you have continued 
fcrvin[^ as before diredtfd) the Horizon will lie bcl 
the Shadow on the middle Line; then is the Obfcrving 
fintl>ied at that Time ; Stir not the Ten-Crofs out of its 
Pface, lor where it now ftands fon that Side of the Staff 
belonijiiiij lo the Crols at the End of it) b the Sun's IWe- 
ridian Aitiiude, or Coziipleaicnt thereof, as before in ob- 
ferving foifward- 

Thus 1 have fhewed how to take an Obfervation by the 
Crofs-Staffboth forward and backward. The ne:xi Thing 
in Ordcr» will be to (hew how to work it j and for ih 
Purpofe take Notice of the following Rules. 

7o luerk an Obftrvatton. 

I. |F the Sun or Star bath North Dec)inatioii} and be 
* the Meridian to the Souihward of you, fubftrafl the 

Declinatinn from the Merdiaii Altitude; the Remainder 

is the Height of the Equino£tial or Complement of the 

Latitude Ni.>rth. 

2, liut if the ObjeiSt obftrved hath South Declination, 
?nd be to the Seuthward of your Zenith, add \ tbe Sum 

fif it exceed not qo deg.) is the Height of the Equator, 
or Complement of the Latitude North: If the Sum ex- 
ceeds 90 deg. fubftrai^ 90 from it; the Remainder U tin 
Latitude South. . ^ 

2. If the Object hath North Declination, and be an 
thf Meridian to the No:thwatd» add the Declination 



»^ 



th* Mitrntir'p Cotnpafs Rt^ifitd. 



is 




to the Meridian Allitiirfc j the Sam if it exceed not god. 

is the Height of ihc Etjuator, or Complcmcm oi the 

^titude SoLich : But if it doth exceed 90 deg. fuWaiSt 

d, from Che fajd Sutn^ the Remaii^der is tde La.tiiude 

orthi. 

If the Sun hath South Declination, and be to the 
Northward at Noon, (ubilFacl the Declination from his 
Meridian Altitude ; the Remainder is the ComplemcnE of 
the Latitude, South. 

5. When the Sun hath no Declination, the Meridii; 
Altitude is the Complement of the Latitude North, if be 
fce South at Noon j and on the contrary, 

6. If the Sun be in the Zt-'nith, and at the fame Tiide 
'6e ksth jitjDeclln,-itiorj,yci; an- then under the £quino<3ial. 

7. But iFthc Sua hath North or south Declifution, amd 
in the Zrnith, the Declination is the Latitude you are 
fill North or -louth. 

8. If yon ofcrferve the Sun or any Star upon the Meridian 
jliCnejth the Pole, add the Meiidian AililiiJ.c 10 the Canj- 

jlemeiit f>f the Sun or Star's Derlinaiion ; the Sum is the 
Icight of the Pole^ ut LatltuHc of the Place. 
Tnefe eight Rules aie explained by the iLxaoipI 
following, '' 

)tiimpltifBr wsrkiig an Obfer-U£tian in Kortb Latitude. 

bO»^//'I. ji DMIT at Sea I obferve the Sun's Meri- 
'■' ■'•-'''■^i% d^an Ai-irude to 42d. 20m. South, and 
E- the fanjc Tifoe the Sun's DeclinJtion is lod. lom. 
'North. I dtmanii the t-atifudc I ani in ? 

D. M, 

' Merfdlan Altittii^c — ^- 4a : zo South 

5iin*8'Declfnation - — ■■ (libfiraft 10 : ro Nor 



uSH 




L^ 



The Complement of the Latitude 
Snbilrait it from' 



32 

-90 



10 
00 



The £-atiTudc I am in, is 



57 : 50 



The Mariner's Compafs ReSfiJhd. 

MxampU 1. Being at Sea the aad of Mi/, Anno 177^, 
lifind, rhe Meritlian Aliitude lo be 65*1. lom. South \ Itie-_ 
maud the Latitude ? 

D. M. 

The Meridian Alttiiide 65 ; 10 SoutI 

The Sun's Declination fubftia^ted 20 : 2$ Noriht 



The Coinplenienc of the Lalitude- 

Sab>ttra6t it from ■- 



44 : 45 

go : 00 

45 : IS 



The Latitude I am in, is -■^- 45 : 15 Norj| 

BxampJe 3, Being at Sea the 27th of Nsvember^ Jnno 
»7?g, I find the Sun's Meridian Altitude to be 2.6. ^qgL' 
10 mtn. South j I demand the liaiitude I am in*P ■ i r^f 

D. M, 

The Meridian Altitude — 26 : 30 Souinr. 

The Sun's Declinarion — ■ add 21 : n SoutK. 



The ComplejTifnt of rhe-Irffctitudc 
Swbftracl it from 



~ 47 : 

90 t 



41 

00 



The Latitude I am in» is — -^ —^ 42 : 39 Nor 

Example ^, At Sea :he 25th of v^;>c//, 4nn9 17B2, I find 
the Stin'^s Meridran Aliitude by Obfervacion to be 58d. 
4'C'tti;'§outh i 1 demand the Latitude I am in ? 

D. M. 

Merid'aiT Altitude ■ ■ 58 : 45 Saut' 

TheDecJinatit^n 13 : 18 Nor 



u. I 



The Complemert of ihc Latitude 
Silbfiraa-it-from ^ 



45 : a? 
90 : 00 

44 ■ 33 Nor 



The Lattfude I ?m iii, is ■ — 

[,'\£itfrmple'^. Admit the 12th Da^ of y*^* 178*, I 

fte Sun's Meridiiti Altitude by Obfervation tn"bcSQ 

niin. Notth ; l detitsnd the Latitude 1 am-iii'f 




'^The M*:ridian Altitude 
Sun's Declination ' 



The Mariner's Cmnfajs Recttfed^ 

D. M, 

Bo ; 35 North" 



The Sum is ■^— 
From it fubtraft 



The Latitude I sm in, Is- 




add 23 : II North 



103 : 46 

■ 90 : 00 



13 : 46 NortV 



Exampkb Admit y^fffrjS 22, 1784, the Son's Meridian 
'Altitude was obfetvfd to be 85d. 15m. North ; I demand 
the Latitude of thfic PUce ? 

D. M. 

The Meridian Ahiiude ■ ■■ -S5 ; 15 North 

Sun's DecUnatioTi ■ add ti : 32 North 



The Sum is -^- 
frooiitftbtraa- 



96 : 47 

■90 : 00 



The Latitude of the place is- 



06 : 4-;? North 



Bxampity. Admit in a Ship at Sea, Junr K)-, 17S4, 
"the Sun's Meridian Aiiitijdc is 6&d. 4.601. North j I de- 
inand the Latitude the Ship h in ? 

M. D. 

"he Meridional AUitude ■ 66 : 46 North,-? 

TheSun's Declination add 23 : a8 North 



Complement of the Latitude 
piom it fubtraft 



90 : 14 

90 : DO 



The Ship is almoft under the Equinodial 00 : 14. North 

ExamfiUs t$findlbe Latitude, by cbfgrvlng the Stars. 

fxampU%. ADMIT I obferve the Bull! Eyt upon ihc 
^ Jx Meridian, and find his Meridian Alutudti 

>_Sod, -i«n« South: I demand the Latitude 1 ajn in ^ I 
■* "^ The 




The Mariner*! Compafs RtSiJied. 



The Declination of the Bulfs Eye is 

The Meridian Altitude ot the Star *-*- 

The Starts Declination ■ fubtraft 

Complement of the Latitude, is^ 

Subtrad it from ■ 




D. M. 

i& : 00 North 

• 50 : 30 South 

16 : 00 North 



34 
go 



30 

00 



The Latitude I am inj is ' 55 : 30 North 

Exampti g. Admit I oblervc the bright Star in the Grtat 
Dsg'j Miuth^ and I find his Meridia.n Altitude Co be 35d« 
45m. South i I demand the Latitude 1 am in P 

D. M. 
The Declin. of the Great Dog's Mouth 15 

The Meridian Altitude ol the Star — 

The Star's Declination add 

The Height of the Equator is • 

Subtract it from — . • > — • 



The Latitude I zm in, \s 




Example for viorHngan Ohfervation in South Latitude. 



Example 10. A DM IT the lOth Day 
■'^ 1778, I find [he Sun's M 



of Maift j1m9 

eridiaii Altitude 



by Obfcrvatioii to be 6ad. 
latitude the Ship Is in i 



The Meridian Altitude 
The Suit's Declination 



oom^ North ; 1 demand 



The Complement ofthc Latitude is 
Subtraft it from ■ ■ — 



The Latitude the Sliip is in, is 

Exampie 1 1. Admit xht 15th Dpv o( January , Aa 
1780, in Longitude ifod. Eart* I find the Meridian Alti- 
tude by Oblervation to be jljd. 45m. North ; 1 demand 
the Latitude the Ship is in ? 





The Mari/jer's C<^mf(ijs RtStijUd 



The Sun's Declination in the Meridian of Lsntistty for, 
the 15th of yanai/ry is zjd- ogin. tlic daily Difference at 
this Time is r I m. decEcafingv iherefore (in the Tabtcof 
Proportion) in Page 20, you will finJ the Proportional 
Minutes to 5[iij which add to the DeclinatJop in the 
Mecidian of Londan^ the Sum is 2id. i&m. South, the 
^un'strue Declination for the Longitude of i«d Fait 

D. M. 
The Meridian Altitude • 38 ; 4;^ North 

EXiie Sun's Declination ■ ■ . fubftract ai : 14. Sojit 
Complement of the Latitude* is 17 



he Latitude the Ship is in, is 73 : 3g South 

Example 12. Admit the 12th Day of jFti/y-, Anna 1783, 
1 find the Sun's Meritfian Altitude to be 66 deg. 52 min. 
North, I demand the Latitude I D. M. ' * 

The Meridian Altitude 66 ; 5a NortH^ 

The Sun's Declination —■ add 22 : oo North 

Complement of the Latitude is . 88 ; 52 

Subltiaditfrom 20 : 00 

^^^atitude required, is or : 07 Soutt 

^H xarn^lt 13, A Ship at Sea, the Sun's Declination being 
^VlS*^- Ifi'^' South, and the Siui's Meridian Allicu<Je Sod, 
* 45™. South, 1 demand the Latitude the Ship is in ? 
^^ jfnjWy ihe Latitude is bd. ifm. South. 
^B Example i^. The Sun's Drclination being I iJ. 14m. 
^^South, and his MeciJian Aldiudc 79d. ;j8m. South i Jj 
r demand the Latitude ? 

I^K JInfw, The LatiEuJe is Od. 52111. South. 
^1^ 'Nutt r. If you obfetve by the' lower Part, Edge, of 
I 'Limb of the Sun you mult aiid to the Altitude taken, 
l6m. for the Sun's Seiiijdianieter, and the Suoi WiU bc^ 
the true Altitude of the Sun's Center. 
A^ff/g 2. 1/ you obi'erve by the upper Limb of the Sun,"^ 
fub{lT2£t x6m, the Remainder A t.\\e KVuwdt of the Sun's 



Sltf Maraur'i Cantfafs R^SiiJiaL 



<ftht Q_U ADRAN T. 




via fie 



7he Difirtprien and Ufe of the QV A D R A N T. 

*T^ HIS Inftrument [called a QuaJrant, firft invenM 
■^ by our Countryman Capt. Z)nii/j, aod thence called 
Davis's Quadrant) is of -^ very ctiinmodious Form ; at pre- 
fect the moft general approved Inftrument ai Sea (at thk 
Time Hcti&y'i particularly excepted) for obfcrving the 
Sun's Meridiem Altitude. 

The Form of it (as in the Fi^uie preiixed) may be of 
any Radius or Length between i8 nches anJ 3 Feet j but 
<he tnoft general now tpadt, arc QiadrantS ot 24 Trschcs 
Radius, with one Aich 65 Degrees, the other 25 Degrees, 
with a^Clafs-'Vaiie znd a Shaijow-Vane, 

The Principal Pans are three Vaiic* and tuvo Arches; 
«n which Arches the Degrees i^itea copcthcr make god, 
Irom whence U hath the Denominatwa «^ ^.Q^-j^^-v-w,.- 



i6o 



72^ Mariner's Cetkpajs RsSifeJ, 



' »nd with its Name) refpedta the Horizon iii Time of Ob- 
ferving ; that which gives the Shadoyv or Eucid Spot marked 

B, h the Shadsw Vane ar Glafi Fant: And that through 
which yoii are to look for both Shadnia and Horizttn marked 

C, is termed the Sight Vanty And thefe ate noted in the 
Figure by their Names. J 

Of the tws Anhts. The leiTcr noted D £, ts caned the-^ 
6oth Arch, becaufe it formerly contained no more than 60 
Degrees^ and is fo numbered in the Figure, but now ic 
often contains 65^ and fomeciines 70 Degrees : This 
Arch is of a fmalJ Radius, being fo defigned that the Sha- , 
dow Vane ufed on it, being at Ko fmalL a Diftajice from I 
the Horizon Vane, on which its Shadow, in Time of ob- 
serving. Is to f*!! might be more vifible to the Eye of the 
Obferver. 1 

This hitxle Arch is divided fometimes but into every 5 I 
pegrees, and never ]efs than every fingle Degree: It is ] 
numbered from the upper Hrd E, with o, 5, 10, 15, 2p, 
i^c. downwards to D» where it ends in the Line of ADF, 
(a Line in the middle of the longer Leg of the Quadrant) 
at 60, 65, or 70 Degrees, according as the other Arch 13 
divided ; io that the Numbers at D and F togcthei:,. muib 
always make 90 Degrees. . 

The Greater Arch GF, is called the 30th Arch : It iti 
of a larger Radius, that it might contain the lefTcr Diwi- 
fiorts of a Degree; and being of a Competent Breadth, 
thereon are ufually defcribcd 9 Concentric Circles, iiicer- 
fefled with three Diagonal Lines (fometimes fix} in cacb 
Degree, makii^g each IntcrfedVion two Minutes of a De- i 

Kr«r, and fometimes one. J 

The Great Arch is divided on ihe Limb into DegreesJ 
y long Strokes; each again fybdividcd into fix equ:tli 
Parts by ihorter Strokes; each Imall Divifion being lO ' 
Minutes, and are numbered from the lower End Ci, with 
5, 10, 15, l^c. upwnrds to F, where it ends in the Llrtc 



ADF, either at 20» 25, or 30 Degrees : 
vay^ at F and! K together make 90 Degrees 



The Figures al- 
aforcfaid. 
The' 




i9 



k 



« J 



The Mariner's Compafs ^etJi^ed, i6i 

rht Ufe of Davis's Q.U A D R A N T. 
'T*HIS Inrtrument is rarely ufcd otherwife than to obferve 
* the Sun's Meridian Altitude j which to perfoitn, l^j 
thus defciibe ; ^H 

Put the Horir-on Vane A on the Khd, and, clofe to th^^ 
Center ; the Sight Vane put on the Arch GF, clofe to the 
Back of it, and the Shadow Vane or Glafs Vane put otl 
the little Arch DE, c!oft to the back of it, and fix the 
upper Edge of the Shadow Vane, to a Nymbcr of Degrees 
(on the Side of the 6.0 Arch) lefs than the Complemen 
of the Altitude by 15 or 20 Degrees. i 

2. The Vanei being thus fixed upon the Quadrant, 
turning your back, to the Sun, the End G in your Hand, 
and F uppermoit, look through the Sight Vane, caufing 
the upper Edge of the Shade 0/ the Shadow Vane, or tucid 
Spot from the Glafs Vajic to lie upon the upper Edge of 
the Slit in the Horizon Vane, where is drawn a black Line; 
at the fame time if the Horizon appear through the faid 
Slit in the Horizon Vane, the Vanes on the C^adrans^J 
ftand at the Sun's prefent Altitude ^H 

3. But if the Sky appear inftcad of the Horizon^ Aide the^^ 
Sight Vaiic % littJc higher towards F \ on the contrary, if 
the Sea appear Jnrtead ot the Horizon, then fiide the Sight 
Vane lower towards G ; continue fo to do tlLI the Horizon 
appear through the Horizon Vane, 

4. Jn order to obtain the Meridian Altitude (which is thtf 
f»reateitAItitudc the Sun will have that Day, and the Thing 
ufed to find the Latitude) continue obferving ; and as the 
Sun rifes the Sea wilt appear through the Horizon Vane ; 
and the Sight Vane mult be Aid lower accordingly. Thus 
continue obferving as oftG2i as may be convenient, tiH th 
Sun is at the htgheft, ■"■ ■' '■ t' '. j' . > 

5. When the Sun begins to fall, the Sky wiU 4p[)cai 
through the Horizon Vane, inftcad of the Horiston s ihert 
defift obferving any rrorc that Dity. 

6. Having thus d(*no, add the Degrees the up[>er Edge ou 
the Shade Va,ne fiandeth at, to the Degrees and Mm, cut 

the iitfide of the Sight Vane, their Sum is the Com^ 

" L ^WSKB^. 



y 



t$Z Tl£ Mariner* s Cempafs RdlifieH, 



^ 



plement of tlie Sun's Meridian AJ titude, or the Diftance on 
the upper Edge of the Sun from the Zenith, to which -Sum 
add i6m. the Sun's Semi-diameter, and the laft Sum is the 
Diftance of the Sun's Center from the Zenith, being the 
true CoQipIement of the Sun's Meridian Altitude. 

Net/^ The upper Edge of the Shade of the Shadow 
Vane rcfpcifLs the upper Limb of the Sun, and the Tower 
Edge of the faid Vane anfwers to the lower Limb of the' 
Sun i fo that obferviiTg by the Jirft, you are to add 16 
Minutes; on the contrary, obferving by the latter, fub- 
trafl 16 Minutes to, or from what is on the Qyadrant, 
the Sum or DifTcrcnce is the Diftance of the Sun*s Center 
from the Zenith, called his Zenith's Diftance or Compie- 
ment of hie Mciidian Altitude. 

Thus 1 have fliewed how to take an ObfervatJon wltli 
the Quadrant : I come now to fhew how to work it. 1 he 
Difference in working an Obfervaiion taken by the Fore- 
ftafFamd Quadrant is only this ; By the Fore-ftaffyou take 
the Altitude, by the Quadrant the Complement of tha^J 
Altitude, or the Diftance of the Sun from the Zenith. l^M 
Jhitkke is the Diftance of ihe Sun from the Horizon j^^ 
therefore if you fubtraiS the Complement qf the Altitude 
from 9od. the Remaindcj is the Altitude; which you may 
ufeas in the life of the Fore-ftaffv in Pages J53 and 154.. 

But it is ufual to work Obfervations (made by the Qua- 
drant) by theComplement of the Sun's Meridian Altitude; 
I will therefore e,ive fome general Rules, and fomeparticu^ 
lar Examples for their Explanation. 



Hit Gtntral Rales art. 



4 



1. 1 F the Sun bath North Declination, and te upon t^e 

^ Meridian to the Southward of the Obfcrver, add the 

[Stin's DecUnation to the Zenith Diftance, (or Complement 

of the Sun's Meridian Altitude) the Sutn is the Latitude 

you are in« North. 

■ 2. Jf the Sun be to the SoytTiward of jwi, and haifa 
^auth Declination, fubtiad his Deciinatiua from the 

Ztrutk 



I 



The Mariner's Comp'afs Re^lfied* 




!enlth Diftance^ the RemaintTcr will be the Latitude you 
arc in, Nortb : But if tbe Declination exceed the Zenith 
Diflancc, fubrra^; th« lefs frpm the greater, and the Rb- 
maindcr is the Latitude, Souths 

I 3< If the Sun lie (o the Northward of you, and hath South 

Declination, 'add the Sun^s Declination to his Zenith Dif- 
tance, the-Sum will be the Latitude, South. - . , \ 

4. Ifthe Sun be to the Northward of you, and haih North 
Declination, fubtrai£l the, ^an'^ Declination from his Ze- 
nith Di{!ance, the Remainder will be the Latitude South ; 
but if the Declination exccqd the Zenith Diftance. fubtra;^ 
the lefs from the greater, and it gives the Latitude, North, 

' I might hzvc given more seiieriLl Rules ; but if you UU' 

I derftand thofe eiyht Rules for the Ufe of the Fore-ftaffyou 
caiihot err in theie, in ufing the Quadrant : And for their 

^i;)tplanatioii» fee the Examples following. 

p. 



Working anOtftrvatim in North Ladtude. 
Zxaiaptt \.r\ N the loth of Jprit, 1780, the Sun a 



, . ■ . ,n; < / 

1 0th of Jprit, 
to the Meridian in the South, and by Ob- 
fervacion, found his Zenith Diftance, or Complement of 
his Meridian Altitude 10 be 34d. 47in. that is, his ui^per 
Lirnb W4S fo much from the Zenith ) I demaiid the Lati- 
tude of the Place of Obfervation ? 

D. M, 
Compl. of the Sun's Meridian Altitude -34:47 South. 
The Sun's Semidiameier ----- oo : 16 




Diftance fiom the Suji'a Center fromZ^^nith 35 • 03 3out?l 
Declination ----- - *■ add oH : 17 North 

Latitude of (he Place required, is - - 43 ; 10 North 

MxampU 7.^ The Jftb Day of Augtift^ Anns 1780, I 

find the Complement of the Sun's Meridian Altitude by 

Obfervation, to be iSd. 48m. South ; I demand the Lati- 



tude the Ship is iu \ 



<^cfta-^. 






S'he Mariner^s Compajs ReMified. 



Comp' of tHc Sun*s Meridian Altitude - 
Sun'f SemidiamcKr . - - * . add 

Dil^nce of the Sun's Center from Zenith 
The Sun's Declination ----- add 
The Latitude the Ship is in^ is - • - 



D. M. 

1% : 48 SoutF 

00 : 16 



04 South 

08 North 

43 :, 13 North 



29 
14 



Example 3. OHoher 3, 1780, I find the Complement af 
the Son's Meridian Altitude, by Obfervation to he 4; 
3Sm. South, I demand the Latitude I am in ? 

U. M. 
Comp. of the Sun's Meridian Altitude - 47 : 35 Sol 
Sun's Semidiameter ----- add 00 '■ 16 

Diftanee of the Sun's Center from Zenith 47 : 51 Soul 
The Sun's D-^clination - - - fubftraS 04 : 18 South 

The Latitude the Ship Js in, is - - 4.3 ; 33 North 

Examplt 4.- The jth Day of N^rttember, Ann6 1782^ I 
find the Complement of the Sun's MctidJan Altitude 
by Obfervation to be 5id. 00m- South ; I demand the Lati- 
tude the Ship is in \ D, M. 
Comp. of the Sun's Meridian Altitude - 51 : 00 South 
£un'5 Semidiameter ------ add 00 : r6 

DiHiance of the Sun's Center from Zenith 51 : 16 South 



fubftraft 



15:49 



South 



The DectinatioD of ihe Sun - 

The Latitude the Ship is in, is - - - ^fr ; 27 Norcb 

Example 5. The lylh of May 1782, the Sun being to 
the Northward of me, and the Complement of his Meri- 
dian Altitude by Obfervation lod. 15m. I demand the La- 
titude the Ship is in 1 D. M. 
Sun's Declination - - » - --2i;ij North 

Comp, of the Sun's Me'ridian Altitude - 10:15 North 
The Sun's Semidiameter - - ^ add 00 : 16 
The Sun's true Zenith Diftanee, fubftraft 
Latitude the Ship is in, is - - - 



10 : 



li 



North 



10 : 50 




The Mariner's Cempefs Re£}ijied, 



ExampU 6. AdntCon the2Crth Day of June, Anno 1782, 
(he Sun being upon the Meridiaji, 1 find, by Obierv^tton, 
his upper Limb to be 6d. fzni. to the Northward of mj 
Zenith i I demand the Latitude I zn\ in ? 

D. M. 
Sun's Declination - * - - - - -23:15 Nort 

Sun's upper Marg. Diftance fromZenhh - c6 : 42 Nort 
Sun'i Scmidiametcr ------ add 00 : 16 



I 



Dift. of the Sun's Center Trom Zenith Tub. 06 ; 58 North 
Latitude the Ship is in, is - - - - 16 : 17 Nort 

Ejtample 7. The lift of Jrrfy, Anm i;8o, in Longi.^ 
tude 165 Deg, Weft, and ihe Sun being upon the Meridian, 
1 find by Obfervationi the upper Margjn of the Stin is i6d, 
45m. to the Northward of' the Zenith j the Latitude (he 
Ship IS in is retjuir^d ? D. 

The Sun's Decltnation at Londsn - - - 20 
Pioportlonal Min. for Longitude fubftradl 00 

Sun's Declination in the Meridian given 

Sun's Supreme Marg- Diflapce from Zenith 16 
Sun's Semtdiuncter - - - - . ajj 00 



Sun's Central Dift. from Zenith fubflraa 
The Latitude the Ship is in* is - - - 03 

JVorkini an Oi/trvcthn ia South Latitude. 

MxampUi. r^'S the 14th Day of July, Anna r782 

^^ Longitude 150 Deg. Eift, the Sun being 
upon the Mdridiau, I find the Complcnitju of hi^ Meridia^H 
Allitudfj by Obfervation, to be 48d. aSm. North i I d«^^ 
Kiand the Latitude the Ship is ml 




i66 Th Marlne/sCompafs ReSJified,* 

D- M. _ 
Conip. ofth'e Sun's Meridiaji Altitude add 4.8 : 28 North 
Sun's Sfinidiameter ^ - - - ■ - 00 : 16 
•1 .''-■ - ' ' 

Sun*5 Central Diflance from the Zenith - 4S : 44 Nc^ 
Sun's pcclinalion for ihe Long, fubtraft - 21 : 4.4 

The Latitude tht Ship is in, is - - - 1? : 33 South 
Bxamplt g. The Z5th of Ostsber^ Anno 1781^ in Lmi- 
gitude 120 Dcg- Weft, thcCortiplement of the Sun's Me- 
ridian Altitude^ by Obfervacton, is 27d. s^rn. Nprcbj I 
require the Latitude the Ship is in ? 

D. M. 

Comp. of the Sun's Meridian Altitude - 27 ; 29 North 
Sun's SeiTiidia,ineter . . ^ - . add 00 ; i& 



Sun's Central Diftance from the Zenith - 27 ; 45 Nort 
The Declinaticrn of the Sun's Prop, add 12 : 27 South 

The Latitude the Ship is in, is - - - 40 : iz South 

Example 10. Admit that on the 24th oi Deeemher^ Jnm 
1782, I find the Sun upon the South Part of the Meridian, 
and by Obfervation the Complement of his Meridian Alti- 
tude is it;d< lom, [ demand the Latitude the Ship is jnh 

D. M. '■^ 
CoTTip. of the Sun'a Meridian Altitude •■ 15 : 10 Sot 
Sun's Semidiamcier ----- sdd 00 : 16 

Sun's Central Did. from the Zenith fubtraft 15 : 26 Sou* 
The Declination of the Sun - - - - 23 ; 27 Soutli 



The Latitude the Ship is in, - - - c8 ; co Soul 

Thus much I thought nccefTsry to add by way of Ex- 
plapiiiion upon the foregoing Rules, in Page 162, which 
exhibit and explain a more peffc*3 ani! accurate Method, 
both in taking and working in Obfervationj than ha 
been formerly made ufc of. 




7he Mariner's CoTitpafs Reefed. 



< me I 



^Natei. The Sun*s Semidiameter here adJed to 
Complement of its Mer'uiian Altitude, may be placed On 
the Quadran;, fo that its Addkion by the Pen may be 
•mittcd J for this Purpdfc the Quadrants have on the back 
Edge of the lililc Arch {every 5 Degrees numbered, dif- 
fering from thclfe on the flat SideJ the Semiifiametef of the 
Sun : So (hat placing the upper Edge of the ■:had'3V/ Vane, 
to the Degree on the faid back tdge of ihe Arch, the 
Quadninr then ftieweth the true Complement of the Alti- 
tude, or theDiftanccof the Syn's Center from the Zenith; 
which prevents adding 16 Minute* after obferving. 



M 



N'sti 1. There is another Contrivance now maJe ufc 
which (s, by fixing a Convex Glafs In fuch a Manner in the 
Shade Vane, that the Diameter tjf the Glais may exaflljf 
range with rfie upper Edge tif the faid Vane, and which 
(ilafs wiUiiten, in Timeof Obfervation, caftan iiluminatad 
Spot on a round biack Spot made in the fJtjfizon Vane : 
This is ufefijl when the Edge of the Shadow rcflcfled from 
the Shade Vaiie is not very coiifpicuoiis, the Spot bcirt 
difcernabic when the latter '■a not : The Manner is thus 



^^U 



I 

I 



Set that Part of the Glafs Vane, which is right againft 
the Middle or Center of the Glafs, to the Degrees on the 
Side of ihe Httle Arch, and then caufc the enlightened Spot 
of the Glafs 10 lie on the black Spot or Circle on the 
Horizon Vane; at (he fame Time look for the Horiz 
thro' i^, as before directed, in Page 160 ; fo you will ha 
(obftrvitig by this Glafs in the Vane) the irueCompIeme 
of the Sun's Altitude, or th^ Diftance of his Center from 
the Zenith. 






rb$ D^firSpti^B ondUfe ?/ f ** N O C T U R N A L. 
'T*HE A?*tfsrW confifls of three 



Parrs j ihe firfti 
termed tbt untnoveablc Part is the broadeft and 
greateft ; on which is a Handle to hold it by in Time of 
Obfcrvation or uftnj it. 



4 




The Mariner's Compafs ReSliJied. 




. 



k. 



On the for* Side of which, in ihe outermoft Circle, ar^ 
the twelve Months, and each Month fubdividtd into itsi' 
refpedlive Days; they are counted towards the left Hand, 
from the Tip, or nearly fo, when you hold it ereft by ihe 
Handle, and marked wiih their Names, or the firft Letters 
thereof s zs Jan. for feiauary, Feb. for February, Mar, for 
^arth^ &c. Wiihin the Circle of ihe Months is a Circle 
divided into 24 equal Parts or Hours, each Hour divided 
into Halves a.tid Quattetp j ufcd to find the Time of full 
Sea or high Water. 

On the back Side of this Part, are the 3? Points of the 
Marinir'! Ccmpafs South Uppermoft, and Kaft on the Left 
Hand ; to each Point is fet tht Declination of the North 
Star, ahoue or under ihe Pole j .which is known by Und^ 
foTUnder^ Abi. (or Abavt. 

Formerly there was made two Sorts of Nofiurnats^ one ' 
for the Great Bear, the other for the Little Bear : Thole 
made for the Guards, uf the Great Bear, or Ciafies's Jtaiit, 
commonly called the two Pointers, have February at the ^m 
Top } but thofe made fur the Guards of the Little Hear, ^| 
have >l?^rj7 at the Top ; but the jp are now made for both 
Bears m one No£lurnal, and are known by having either 
two Circles or Months, mark'd GB and LB, or two 
fliort Teeth or Indices, prodceding ftom the fccond or 
middle Part of it marked G3 and L3, fignifying Grej,t 
"car pr Little Bear. 

2. Tiie fecopd moveable middle Part hath two Circles 
on it i the outermoft is divided into the 2g Days and a Half 
of the Muqu-s Age ; the innermo^l is divided mto 24. equal 
Parts or Hourly each Hour fubdivided into Halves and 
Quarters y this Part hath a Tooth, or ftiort Index pro- 
ceeding from it with the Edo;e continued in a right Line 
from iheCcnier, which is tpW fet to theDay of xhe Month 
when ufcd. Some hawe two Indices, marked G on one, 
and L on the other ; G f^apds for Great Bear, and L lor 
Little Bear; fSgnitjinj the No£tuijjal h made for both 
JB»r£, axid may be ufrd fur ei;l)^* 



r 



The Manner's Comfajs RiEiijied. 

3. The third and moveable Part is called the Index ; 
ts uppermoft on the fore Side of the Inltrumcnr, having one 
Edgf proceeding in a right Line from the Center, which 
(in the Time of Obf^rvation] mufl be turned to the 
Guards. Through all three Pieces, in the Center of the 
Inftrument, is a Hokj through which you are to fee the 
North Star, when the Index js turned to tb« Guards, 



Tht Vfi t>f fj6f N O C T U R N A L. 



4 



Tj Y it may be found the Hour of the NJ^ht, the Bearing 
^ of the Guards, and the Declination of the North Star 
from the Pole ; by which may be found the Latitude, at 
fhalL be Ihcwed in Order. 



r* find tbt Baur of the Night. 



J 



1. Place the Index of the fecond or middle Piece, to tile 
Day of the Month where it is to be kept, 'till the Obftr- 
vation is ended \ then taking the Handle in your Hand^ 
with the fort Side towards you, and holdinp it upright, 
(which you may difcetn when you do fo, by the Tip on 
the Top of the firft or great Fait of the No^urnal) look 
through the Hole into the Center for the Nonh Star. 

2. Turn the Kdge of the long Index, which proccedeth 
from the Center Co the Guards, til! you fee at the fame 
Time, the North Star rhrough that Hole, then will the 
Index fliew ihs Hour o( the Night qn the fecood, 
piiddlc Part. 



Lia 




17© 9^ Marhur's Compajs ReEIified. 

/■The Figure of the N O C TU R N A L. 




a. Ta 



^he' Mariner's Compafs ReSijied. 




2, To, find the Bearing of tlie Guards, cither of the Lit- 
tle or Great Bear, that is, upon what Point of the Com^ 
'psfs they are» and thereby to find the North Star's PccJh 
nation from (HePcje. \ 

i» Kuving obfervt'd a!l th? particular Dir^ions as be^ 
"ore, ill finding ihe Hour of the Night, you inufV fee thft 
Korth Star through the Hole, and tHie Guards by tiie Edge^ 
'of the long Index. I 

2, Then look on the Back-fide of the Ns^vrnal, whitj 
Point of the Compafs ftancfeth ag'amrt the aforefkitl E<!ge Qt\ 
the Index, which is the Bearing of the Guards ; and pt thci 
fatd Point of iheCef/ipafs is tigyrcc! ilie North Star's De<]i»l 
nation frotn the Pole ar ihal Time either above or under. 

Note, if the No^urna] is made to fit the OJd Siili the 
Index muft be adjufted in al! Problems relating to Time blTi 
fixing it eleven Days backward fcom that Obfervation, ' 1 

Example i. The ^lii of Dnemhr, a[ fix of the Clock in' 
the Morning, obl'erving the Pstfiters or Guards of the 
Great Bear "by the Edge nf that Index : I demand their: 
Bearing, and (he Declination of. the North Star. 

Right againft the Edge of that Index you obferve with, 
and on the back .'lide of the Noifurnal is SW byS- the Point | 
of the Cooipafs reqiiin.'d ; and on the faid l-'oint of the ; 
Compafs is 2d. 33,111. uW. fignifying the North Star Ji tha\ ! 
jd. 33m. under the Pole, in ihe Circle marked G- 8. 
'■ EifompU z. The 7th of Afanh, I (jbfcrve (according t* 
fthe Direiftions before given) at feven of the Clock in tha 
Evening, the Fsre Guard of the Little Bear by the Edge. 
of the Jong fruex ; I demand Its Bearing, and the I)«lt,-,. 
nation of the North Scar. 

Seeing the North Star through the Hole In (lie Middle, 
and the Guard of the Liit-U Bear by the Edge of the long j 
Index, (note always that Edge refpe£ting the Center of the 
Inftrument) and the Index cutting feven of tte ClocI;, 0'|^ 
the Back-fwle of the Ne^umal, *fid againft the faid Edge of 
the Index* is N, £. the Point of its Bearing ; and on the 
faid Point is figured od. 35rn. Abo. which fignifieth the 
N. Star is then 35 Minutes above the Pole vev ^iwi O*'**. 
marked L. B, "V"" 



■ 



The Mariner's Com^afs ReSJifitd, ^H^l 

3 Ttf fiid tht Maori's Stutbitig hy tie No£lurnaI. 

T» do this, leolc for the Moon s Agc in the outermoft 
Circle, on the Middle or fecond I'iece of the Nodlurnal i 
and right againft It in the mnermoft Circle of the faine 
Piece is [he Southing. j 

Example. 1/ the Mstn bi 19 Diijf otJ, I dtmand her 
S4ulbing. 

Right againft iq, in the outermoft Circle, it aJmoft 3J 
in the innermoft Circle -, which is half an Hour pad three 
of the Clock -in the Morning nearly, the Time 0/ the 
Moon's coming to the South, ^ 

^B 7o find the Time of fv!l Sta $y the Noaurnal. 

^H|. Set the fhnrt Index of the middle Part which iVands 
WP 12, to ihc Time of full Sea, on the New oi Full Moon 
r (for the Place propofed) in the innertnuft Circle of the 
I great Piece. 

1. Keeping it there, bring ihc Ic n? Index to the^oon's 
(Southing, or) Age an ihe middle I'jcce. 

J. Then I'ight agaiilft the long Index, and tn the inner- 
moft Circle on the gr^at Piece, \% the Time of fuU Sea 

Example. 7%^ Mssn btrng 19 Dajt eld^ I Aimand tht 
Time of Full Sia at Gravcfend ? 

■ T- Brinp the Index of the middle Part (which (lands at 
fjjio I* Hour (which isN.N.K. andS.S.W. the Point of 
iheCpnipafs making Full Sea at Gravrfcnd^ on the New 
and Full Moon) in the innermoft Circle of 24. hours on 
the gre:tt Pit-cc, keeping that faft there. 
■ 2. Turn the long Iddi-xto 19 Days (the Moon's Age,or 
%j ji Hours the Moon's Southing) un the Middle Pi^ce. 
3 Then right againft the long Index, and in the iinjcr- ' 
moll Ciicle (on the great Piece) is 5 Hours, the Time of 
tu)) tiea or high Water in the Morning at Gravtftnd, 



Thg Mariner's Comf&Js ReSrfied. 






5. TV fittA the Latitudi by the Noaurnal and For Staff. , 

1. Find the North Star's Declination from the Pole, hjr^ 

ohferving with the Nocturnal, as directed in Exa.mple jj 
or 2, of its Ufe, in Page tjl. 1 

2. Then 3t the {artic Time with a Fore-Staff, uke thcJ 
Altitude of ihe North Star. 

3. If the North Star be above the Pole, fubftraa its 
clination from (if under, add to) it$ Altitude j the Sum' 
Difi'erence is the Latitude required, Noith. 

Examplt, Suppofe on the 7th of March^ at Seven, oft! 

Clock in the Evening, obferving with the Nocturnal, yoa1 

Lfind the Guard of the Little Bear ta bear KK. which is od^ 

15m. above the Pole, and at the fame Time, by the KorcJ 

jLaff, find the Altitude of tlie North Star 42d. iQm. 

iquired the Latitude of the Place? 



From the Altitude of the North Star 
&ub(tra£t its Declination above the Pole 



42 : 19 
00: 35 



Remainder is the Latitude required -• • 41 : 35 Norti^ 

Example a. On the jift of Decemher, at Six o'Clock ioj 
the Morning, obfcrving ivitb the Noituriial, I find tK 
Guards or i'oirtters of the Great Bear S. W. by S. wKicq 
lis ad. 33m. under the Pole; and at the fame Time, by thq 
Fore Staff, find the Altitude of the N. Star 45d. 22m. I de i 
mand the Latitude of the Place of Ohfervation ? 1 

D. M. 
To Hie Attitude of the North Star - - 45 : 22 
Add its Dedination from the Pule under it 02 : 33 

. $MiD is the Latitude required - • - - 47 : J5 ^'■'' 

The Defcriptku and life sf Guntex's Scale. 



'T'HIS Inftrument for its quick and eafy Difpicch 
^ «hc iBoft c«mtnon and ufcfuj Proportions, deferv 



:h «l 

fervj 



d 



F 



^s M/trinsr*s CorHpnfs RcSJtfeii. ■ 



ai'grnet^lly to be known iit its Ufts^Vbjr itsNathe; On 
that Account we (halJ firft give a Dcfcrtittcon thereof, and 
tfcen with as much Ciear'nefs and Brevity as poffible, {hew" 

I. Gmttr^i StaU^ {io called from Mr. Guntir^ its firft" 
Contriver) js usually maJc'oF Box Wood, commonly twa 
F*et lojig, ^nd ope Inch and a half broad; on which are 
placed the X'rnes or Scales of Numbers, Sines, Tangents, 
f^c; There are tA-o Sorts/ the long or flat Gunter, and' 
the ilidlng Gutttcr; On both Sorts aic the Tame Lincsj 
though differently ufed ; the firlt Sort with the Compafles, 
tht Satter by Aiding Pieces. , 

1. The Lines gfincrally fct on Cttnter's are eighty and^ 
have their Names at the' Right Hand End thereor, und'cr 
one another, thus ^ Sine Ruinb, Tang. Rumh, Number* 
Sines, Verfed Sines^ Tangents, Merldiari (or Mendlohar 
Parts) and equal Parts. 

3- The SineRumb, and Tang. Rumb, are bisth Points of 
the Mariner's Cempafsi the firft is figured from the Left 
Hand towards the Right, with j, 2t 3>4i 5. 6, 7, and 8, at 
which is aBrafs Center Pin i the latter is figured thus^ i, 2, 
3j and 4, at the faid CcnierPin; atid thence back a^aln 
toivards the Left-Hand with 5» &, and 7 ; each Point in bpth 
Lines (where ir can) is fubdivided into Halves and Quar-- 
tttfi; Thefe two Lines are only ufed in Navi^cion. 

4. The next under 'J'ang. Runib, is Ch^ Line of Num- 
|»«s figured thus: Near the Left Hand End it begins at i, 
arid towards the Right Hand is 2, 3, 4, 5,6, 7, S^g j then i, 
is the middle, at which is a Brafs Center Pin going ftill 
on i» 3» 4i 5i 6» ?> 8, g, and 10, at the End where if 
another Center Pin: This Lhie is of genera! Ufe, .ma. 
requires the larger Account, whereof take ihefe llircc fol- 
lowing Notes for the Line of Numbers. 

« 

Nolt I. JU thf Figures on thii Lim may In tai/n Jinglj 

as thty /fand ; or bi increajtd *f diminified at Pieafurtf 

jt it ht in Dicuple or ttn Fold Prepartisa. That is, the 

firft laav be counted (or i, or 10, «r lOO* or looo, ts*«. 

^^B^B iheA 




TCP the next 2 is accordingly Jj or 20, or 200,, or zooo* 
tff. ,Again, the firft i may be fcckoned for t TentU, <jr 

1 Hundj-eth., or fflr 1 Thoufandth Part, ^c. then the next 

2 is 2 Tenths, or 2 Hundredths^ or 2 Thoufajid Parrs, &"*', 
So'that K the Firflr 1 be eftcemed t, the midiile 1 is thur 
10 ; and two to its Right-hand Js thcci 20. 3 is 3:0, 4. is 40^ 
and 10 ar the end is 100. A^in, rf the firft i ba counraj ■ 
10, the next t is 20, 3 is 30, and fa on, maki/ig tfa^ IVlid- 
^te I now 100 ; the next 2 is 20O, 3 is 30O, 4 is ^oOy and 
10 at the £nd is now 1000. 

In HLe Manner, if the firll: t be effecmed for-i Ttotfc. 
Part,, the next is 2 Tenths, and the tniJdlc 1 is i; and' 
the next 2 is 2, and 10 at the End is now 10. Agaifi, 
if the firft t be counted for 100 Hundredth Part, the nem 
2 is 2 Hundred Parts; the Middle i is now 10 Hujidred'- 
Parts, or 1 Tenth Part, and the nejit 2 is 2 Tenth Pane ; 
and 10 at the End it row but i whole Number cr Integer^- 
Note -J, ^t the Figures are hureofed er ^imrdjiitd im. 
tbtir ynitte, fg in Hit Manner fsuft all the inttr mediate Stroksi 
§r Subd'ivijism be inir.m(U 6t dareafed: Titat is, if tlsc fir4 
I (at the leFt Hand) be counted 1, then 2 (on theTjigbt ' 
Hand of it is 2 ; and each Subdivillon between them now 
is oflc Tenth Part, and fo 2II the Way to the MiddJe 1,. , 
which now i* lOj the next 2 is 20, Now the longer 
Strokes betwwn i and 2 arc Co be counted from 1, thus j 1^ 
12, (where is a Etafs Pin) then 13, 14., 15, (fonicthm* 1 
a longer Stroke than the reft) then 16, ly* iS, ig, and ao, 
at the Figure 2 ; Aqd all the ftoitcr Strokes betwcca ih 
longer are now e^ich to be counted for a Tenth Patl \ ^roia ' 
the Middle i to the next 2, now 20 ; from whence the 
longer Strokes between the Figures are Units, thiis 21, 2 
23, £/c. to 3, which now is 30; and the fliorier Strokcij 
between them, each now is 2 Teiith Parts of an Integer;, 
From 3, each fton Suokp for little D^ivifion) is fircTeath-] 
Parts of an Unit, ^ ^ j- 

Ajpio^ 





i 



176 The Mariner's CompJtfs RealfieJ. 

Again, If i at the left Hind be Ten» the Figures between. 
it and the middle i are cominon Tens, and the 5lib- 
divifions (between each Figure) arc Units, and from the 
Middle I to 10 at the End, each Figure is fo iraiiy 
Hundreds; and between ihefc Figures, each longer Divi- 
fion is lO and from ths Middle 1 to 2, each kfs Dtvi- 
lion is an Unit; and from 2 to 3, each lefs Stroke is two 
Units \ from the Figure 3 to the End, each ftorter Stroke_ 
is five Units. 

Some Scales are otherwife fubdivided, which the Reads 
wiM attend unto, and thence very eafily afcertain the 
Value of each Subdivifion, if what is aforcinencioned 
duly utidcrllooci. 

NfU 2' On the Line of Numbers may be counted aT 
Number of any Denomination ; whether Meafure, as 
Inches, Feet, Yards, Miles, Leagues, i^(, or Weights, as 
Hundreds, Pounds, Ounces, l^c. or Money, as Pounds, 
Shillings, Pence, i^c, or Time, as Years, Months, Days, 
Hours^ iSt- provided always the Integer be divided, or fu 
pofed to be divided decimally, or into Teni!. 

5. Next under Numbers, is the Line of S('««, beginning 
at the left Hand, and figured thus, i, 2, 3, i^£, to lO; 
then ao, 30, 40, Wc. to go, ending at the right Hand, 
Where is a bra fs center PJn. Thcfe hij^ures never change 
their Value-or Denomination, being here (and in all other 
Lines under it) called Degrees, 

From the Bcjiinnine of this, Line to to Degrees, each 
Degree is commonly divided into j2 Parts, by longer and 
Jhorter Strokes, makina: each 5 Minutes ; from lO Decree* 
to 20, each fmaller Stroke is 10 Minutes; from 20 to 

£0 Degrees each is fifteen Minutes frum thence to 60 
>rgrces, fome arc twenty, but the moft arc thirty Minutes;- 
and from 60 to 80 De|;rees, each Divifiun is a Degree j 
80 and go are fo near together, that they admit but of 
one Stroke between them, which is tor 85 Degress, 

6. Next to the Line of Sines, is the Lint of Vcrfei 

Sineti beginning at the right Hand a^ainft 90, (in the 

iioei] and from thence ligured towards the Left-hand i 

' diu* 






7he Mariner^i Ccmpafs ReffiJSgd. 



«77 



riiuS) 10, 20i 3O1 40, (s^(. ending at (the left Hand End) 

about 169 Deg^rees ; the Subdivifions are ihus^ from 10 to 
30, each is 2 Degrees ; from thence to go, it is fingle De- 
grees ; from thcnce to 1 20t i t is half Degrees ; ajid from 
thence to the End it is divided each into 15 Minutes. 



7. Under ver fed Sine: is tJie Z.tntf,o^ Tai^^nfT, beginhin 
at the left HMid, as the Sines do i from thence figured to 
the right Hand thus, 1, 2, 3, i^c. to lO; and fo on, 20, 
30, 40, and 45 at the right Hand, where is a little Brafs 
Center Pin, juft under and even with 90 in the Sines 1 from 
thence back again it is figured, 50, 6o» 70, 80, ^t. to 
89 i ending at the Left Hand End, where it began at i De- 
gree : The Subdivifions of the Line are the fame of tho;' 
of the Sines, 



^ 



8, Next to the Line of tangents, and under it is tl 
Line »f Meridlansi Parts^ beginning at the right Hand, an 
numbered thus, 10, 20, 30, iSc. to the left Hand, wbe( 
it ends at 87 Degrees. This Line, with the Line of equA 
Parts under it, are lifed together, only in the A'ltrca!oi^%^ 
SaHing-t the uppermoft Line contains the Degrees of the 
Meiidian or Lantude in a Mercator'a Chart, and ~ 
lower is the Equator, and contains the Degrees of Lor 
gitude. 

9. Thefe eight Lines, thus defcribed, are fet on the 
Sliding Gunter^ but not in the fame Order, being fbme 
on one Side, and fomc at\ the other; Alfo the Line of 
Nunibcjs, Sines, and Tangents, are fee double, that ia, 
one on each Side, as the middle Piece Aides ; which middle 
Piece is fo contrived, as to flip to and fro eafily ; to Aide 
out, and to be put in, any Side uppcrraoit, in order to 
range thefe Lines together or againft one another, molt 
proper for folving the Queftions wrought by the Sliding 
Guttttr ; of which, this ihort Defcription may fuflice. 



M 



I n 




Thf Maritter's Compafs Re^i^cd. 



J. 






Hjt life of Guntcr's Scale, bath Jingle and JliMng^ tM 
Arithmetic, i~ 

1 N order to a right Unilerflanding of the Ufe of thl^ 
■* Sca)e, it is ticcellary to niimber well on ttj that ijt, to 
find readily a Place rcprcfcnting zny given Number, Point, 
or Def^ree, £?<:. but chiefly on the Line of Numbers, wbich. 
is as follows: 

IP R O B L E M I. Tv finda whole Number nn thr Line 
ef Numbtrs. 
Rule i.T OOK the firft Figure of the given Numbe 
'^ among the figured Divifions. 
S. For the I'econd Figure, count fo many Tenths, for 
longer Strokes) from the figured Divifions, towards the 
right Hand, j\$ are Units in the faid fecond Figure. 

3. Then for the third Figure, count from the laft Tenth 
rcprefcntiiig the fecojid Figuie) fo many Icffer Strokes (( 
^emefmsj as that Figure hath Units.. 

4, In like Manner, for the fourth Figure, count from 
the laft Centefm fo many Thoufands [or Icfler Strokes) ag 
are Units in It^ and fo on, for more Figures, though four 
Figures, or Thoufands, arc as m^ny as can Well be dif 
cerned on a two-foot Gunter. 

5 This dniic, the laft Place is the Point where th| 
propounded Number is teprefented, 

£xamplt I, To find the Point in the Line of Numberl 
that doch reprefe;it 12. 

According to the Rule above, I take the Divifion at the 
'igure I (in the Middle af the Lino of Nuinbers^ for the 
^finl Figure of 12, the propounded Number; then for z 
thc! feconii Figure I count j Tenths (or longer Strokes It> 
(he right Hand) from the faid Stroke at 12 ; aiidihil laft 
if the Point rtprcfcnfing 12, where moft commonly is a 
finalJ Brafs Center Pin, b«ing oft In Ufe. 



Tbe MeriHtr's Ccmpafs ReSi't^ti, 



'?9 



rjrd«pi/a. Suppofc the Point reprefenting i2, on i! 
Line of Numbers, was required to be found ? 

The firft Figure in the Number ai, being 2, I take the 
Divifion in the Figure 1 for it ; and for the fecond Figure 
J, I count 1 Tenths onwards : And that is the Point repre- 
fenting 21. 

£xampU 3. I defirc to know the Point on the Line of 
Numbers that reprefents 144. 

The firft Figure being i, I take the Divifion at the 
Middle I for it ; the fecond Figure being 4, I count 4 
Tenths onwards;, and that is 140 ; from thence count 4 
Centefms farther^ for the third and laft Figure j this laft 
Place is the Point reprefenting 144, 



P 



Example 4. Let it be required to find, on the Line 
Numbers, the Point reprefenting 171S. 

For the firJl Figure i, take the Middle i for the fe- 
cond Figure 7, count, as before onward, 7 Tenths, and 
that U 1700: Then for 2, the third Figure, count 2 Cen- 
tefms from the laft, and it reprefents 7720 ; Laftly, for the 
fourth Figure 8» eftimace 8 Thoufand Parts from the Jai 
This Point laft found reprefents 1728 ? 

PROB. 11. Te find a Fra£lhn^ or hrtktn Numherf sa tl 
Lin/ sf Numbers. 

'in HE Fraflions to be found on this Line mull always ibi 
* Decimals; as thcfe, .1 .01 .001 ; .2 .02. 0C2, fcfc. 
that is, -^ T^, ^^^ ; T^, f* > r^n. t*fr. either of Inches 
Feet, Yards, Miles, ni the like ; ajlo in Weight, or Time, 
or any other Dcnomii-batioji whatfoever. 

So that all olher KraiStmns mull be reduced Into D.eci- 
mals, before they can be found on the Line of Numbers j 
aud being fo reduced, they are orprefled and found upon 
this Line as whole Numbers by the Rult vtl pYtfcVimX. -w^ 



M. 



y^s^ 



'iSo (The Mariner's Compafs Re£iified. ^^^| 

P R O B. TIL To ptrftrm Mulu^lkaum by iht Lint *f 

Humhen, ^m 

The RULE Is, ^ 

AS 1 is to the Multiplier, do is the MultipHcand to 
the Produa, fl 

Now to work thlfii or any Proportion on theGwnfir, 
this ia a general Rule. 

1. Extend the Compafles from the firft Term to th^ 
lerand Term. ^| 

2. That Extent laid the fame Way from the th^[ 
Ternij will reach to the fourth Term, or Thing reqiilrc^f 

By the Sliding Gunttr thus ; ^| 

I. Set the firft Term counted on the (liding or middti 
Piece, right againft the fecond Term coijnted on the filxe4 
Piece. ^ 

Then feek the third Term, (always on the fame Pieco 
the firft Term was counted upon] and againft it on tha 
other Part, is the fourth Term, or Thing ret^uired. ^^k 

Exampli t. What is the Product of 8 multiplied by 4? 

The Analogy 01 Proportion \% this : As i Is to 4^ fo is 

8 to the Product. H 

Or it is thus : As 1 is to 8^ fo is 4 to the Product. H 

I, By the GuW/rwith CompaiTes, thusj ^| 

Extend the CompalTes from i to 4 -, that Extent lalB 
from 8 the [fame Way) reachethi to 33, the Product of S 
multiplied by 4, ^h 

Or the Extent from 1 to 8j being laid from 4, reacheiiP 
to %1, the Piodu(^ as before, 



^he Mariner's Compafs ReBtJUd, 
2. By the Sliding Guntert thus j 



iSi 



Set I at the Beginning of the middle or Aiding PIocc, 
right againft 4 on the fixed of outfidc Piece j then againft 4 
on the firft, is 32 on the fccond, the Product required. 

Or (fet as before) 1 againft 8; then againft 4 on the , 
firft^, is 32 on the Tecond, the ProiuSt^ as before* h 

Exampk 2. What is the Produ£l of 16, multiplied by 5 r 

The Proportion to work it by, is this : Aa ■ u to 5, d 
is 16 to the Pro<Ju£b. 

i I. By Gsfffw with Compaflcs, it is thus; ^ 

I The Extent from 1 to 5 being laid from i6» reached^ 
to 80 the Produ^ft required. fl 

2. By the Sliding Guntir thus j fl 

Set I on the middle Piece, againft 5 on the outfidc Piecc^ 
then aga^inft 16 on the firft, is 80 on the fecond, the Pta« 

du£t as before. S 

P R O B. IV. To ptrform Dlvijiant hy tht Line ofNumhtrt^ 

^ The Rule or Proportion is thus ; fl 

AS the Divifor is to i, fo is the Dividend to the Quo^f 
tient. ^1 

ExampU r. If the Dividend be 64, and the Divifor jj^ 
what is the, Quotient ? 

To do this, the Proportion is : As 4 is to 1, So is 64 f 
the Quotient required. S 

. I. By GwMfT wUh CompaFes, thus; fV 

The Extent from 4 to i (laid the fame Way) from 64 
icacheth 10 16, the Quotient required. 



The Mariner's Ccmpafs ReSiJiid, 



2. By the SUding Gunter^ thu8 ; 

Set 4^ on the outfide Piece, againft i on the Middle 

Piece; then againft 64 on the firft, is j6 on the fecond, 

^hicti is iJie Quotient as before. 

Bxempit 2. How often is T44 contained in 172S ? 

To do ihisj iTie Proportion is thus ; As 144 is to F, 
is 1728 to the Anfwer, viz. 12. 

I. By Guntgr with CompaiTcsj rtius ; 

The Extent from 144 to i, rcachcth from 1728 to i'. 

the Quotient and Anfwer required, 

2. By the 5/jV/fly G*Bi«r» thus; 

^ Set 144 f^n t^^ outfide Piece» againft i on the middU 
I Piece; then againft 1728 on the firfi-, is 12 on the fecond, 
^Vhtch is the Qiiotient as above, 

PROB. y. To rf'luce a Vulgar Fra^hn to a Dtcimal by tl» 
Line tf Numbers. 

*T* O perform this, the Proportion Is thuftt As the Deno- 

minator of the given Fra<Etion is tg its Nunierawr, 
is I to the Decimal Fiaflion required. 

r£rttm<>/fi Suppofe it be required to reduce}, a Vu!gat 
Fraiflion, into a Decimal Fra<5lion i 
Nutj A Decimal Fraiflion hath for its Denominator si 
Uriit> with as many Cyphers as its Numerator hath Pisces, 
and the Proportion to find the Numerator is thus ; As 4 is 
to 3, fb is 1 to the N umeracor ^f the DecimaJ Frailion «-. 
quired. 
i-; J, By^Hfl/ar with Compaffej, thus; 

The Extent from 4 or 3 reachelh (the fame Way) 
fkoMi r to j$y or 3^'g the Detisaal Fw6kion required. 




Tbs MmnsrU Compa/j Rs^ified, 



I 



181 



a. Ry the SM'wg Gunter^ (hu) ; 
Set 4 on the outitde J'iece, againtl 3 on tlie rritddle 
Piece ; then againft i on the firft is 75, or -^^ on the 
fecond, the Decimal Fraction required to bc Ibuiid ; Sc 
that .75, or ^Vb is equal in Value to |^. 

PRO B. Vr. Of Continual Prcporthn, or GtmitrU Pra~ 
grtjjion : tuhUh is imU tW6 given Numlrers, to find a 3d, 
4th, 5th, ^f. Num&ir, in a tantinual er csniinued Pram 
portiDtt by the Line of Numbers, 

The Analogy by which it is effeifed, is thus ; 
A S the firft given Number is to the fecond, (a is the" 
^*- cond to the third, and fo is that thtrd to a founth, ani^ 
that fourth to a fifth> i^c. 



r 



Exampk, Let the two Numbers given be 2 and 4, onto 
which it is required to find a third, Fourth^ i^e. Propor- 
tional. 

For the Performance hereof, the Rule is thus ; 

As 2 Is to 4» fo is 4. to a third j and fo is that chird ta 
a fouTth, fere. 






I. By Gunttr with CompalTcs, thus ; 
The EKtcnt from z to 4 reaches from 4 to S, the tK.iu, 
and from 8 to (6, the fourcb ; and from 16 to 32, the fifth 
proportional Numberi and ^o on, to as many as you pi eafe: 
So that 2, 4, ^, i6j 32, t^£. areNilmbers in coniinued 
Geometric Proportion as was required. 

2. By the 5M>/ Gunifr; thus ^H 

Set I on the middle Piece, to 4 on the outfidc Piece: 
then agaioft4 on the firft, is 8 on the Second, for the third 
Proportional ^ and againft 8 on the firft is 16 on the fe- 
cond, the Fourth Proportional ; and in like manner againfl 
j6 is 32, the fifth Proportional, «s was required : And f* 
on fox more, ^^SbSif^^ 



i84 Tbt Mariner* s Cempctfs Re^fjied, ^| 

P R O B. VII. Of the RvU of Thru Dirt£r, #r thrte Num- 
itri being given^ to find a fourth in a dinU PrtpoHtoa by 
i the Line of Numbers. ■ 

I The Analogy whereby thi$ is performed, is thus : I 

, A S the firft Number Is to the Tccond, fo is the third t* 
** the fourth Number required. 

" Exampie 1, If the Diameter of a Circle be 7 Inches, aov 
the Circumference thereof 22i what is the Circumference 
rof a Circle, whofe Drameter h 14 Inches i 
I Toperform this, the Analogy is thus ; as 7 is to 2l)i« 
us 14 to the Ctrcumference required. 1 

I I. By Ganl/r with Compaffcs, thus; I 

r The Extent from 7 to 22 (laid the fame Way) from I4j] 

will reach to 44, the Circumference of the Circle, whofd 

I Diameter is 14, which waj required. ■ 

2, By the Sliding Gunttr, thus ; 
Set 7 on the midJIe Piece, agaiiift 22 on the outfide 
Piece J then againft 14 on the firrt, i» 44 on the fecond, 
which is the Circumference as above. 

m Example 2. If the Circumference of a Circle be 3. 14' 
pir 3 tqV and its Diameter i, what will the Di»mctcr of 
another Circle be, whofe Circumference is 44 ? 

The Proportion is^ as 3 ^*a is to 1, fo is 44 to the Dia- 
meter required. J 

i I. By Gunttr with Compaflep, thus j J 

I The Extent from 3 -I'liir to i, reacheth from 4410 14I 

nearly, the Diameter required, ^ 

2. By the S/ii/ifl^ (jMff^^r, thus ; 
Set 3 f'^a on the ouifiJk: Piece, right againfl I on tho 
middle Piece ; then againft 44 on the firft, is 14 on the fc- 
ffffnJf which is the Diameter required, as before. . 

L JV*/f J 




^hi Mariner^ 3 Cotnpafs Reffijted. 185 

Nifttf In the Rult e/Tbrtt Direif, if the third Numbw 
be greater than the firft, then will the fourth Number be 
greater than the fccond : But if the third Number be Icfs 
than the fiT&y then the fourth will be Icfs than the fecond. 



fl 



ExampU 3. If 30 Acres of Land be worth 15 Pounds ; 
Year, how much a Year will 54 Acres be worth i 

To do this, or any Qjieftion in the Rult of7hrtr^ altfayT 
fi in the Proportion let the firft and third Numbers or Terms 
be of one Kind or Denomination, and then it is thus : Aa 
• 30 Acres is to 25 Pounds, fo is 54 Acres to 45 Pounds. 

I I* By the Gunttr with CompSfTcs, thus ; 

■ The Extent from 30 to 25, reacheth from 54 to +5, '^ 
\ yearly Rent required. 

B 2. By the Sliding GmUTj it is thus j 

I Set 30 againft 25, then againft 54 on the firft, is 45 o^ 
r th€ fecond, as before. 

I By this Time the Reader is, we prefumc, fo well ac- 

' quainCed in the Way of working a Proportion on the Line 
of NumberSj with Compaffes or without, that ir ts needlcts 

K to cj£prc(s it in Words any mort-', being always the faitjc; 

f We (hall therefore for the future fet down the Proportion, 
leaving the Manner of its Operation to Praiftice, except in 
Cafes where the working differs from what went before. 

I P R O B. VIII. Of the Rule of Freportion Iwfrff, tr 
B _ three Numhert given lo find a fourfb in an hverfe Frepor- 
H^* |/aijT, or in the backward Rule of Thne^ by the Line of 
^^P NumbfTf. 

N this Rqle you mud note* if the third Number bQ 
greater than the firti, then will the fourth b< lefs ttufl 
the fecgnd, But, ^| 



I 




The MarinerU Cempajs ReUiJttd, 



s. If the third be lers than the ArA, the fourth is to ba' 
greater than the fecond. 

3. And to rcfolvc Queftions in the backward Rule of 
Three, the Proportion is thus; 

As the third Number is to the fecond, fo is the firft a* 
fourth. 



^Aefo 



ipU. If 72 Pioneers make 3 Trench in 48 Hours, ia 
how long Time will 54 Pioneers make it? v,| 

By the Dircftions above, this Is the Proportion : As 54 
Men is to 48 Hours, fo is 72 Men to 64 Hours, the Anfwer 
to the Queftton, from whence you may conclude that 54 
Men will perform as much in 64 Hours, as 72 Men 'ml 
48 Houii. 



h 



P R O B. IX, Of Duplicate Propmiofiy or three Numhtrs 
he'tng given, to find afnurth in a Duplicate Prspffrt'ton by the 
Lint of NuTobers. 



►T* his Rule is chiefly ufed in Proportion of Lines to 
■^ SupcriicieSj i^i. whereiji the firft and fecond Termi 
are to be of one Kind or Denomination. 

Example i. If the Diameter of a Circle be i, and itar 
Area or Content 0,78539, what is the Content of a Ci/d* 
_Whofe Diametei is 14 ? 

To perform this, the firft and fecond Terms, fby the 
Note abovej are to be Lint-s -, that is, the Diameccri given, 
and then the Proportion 1$ thus; As t is to 14; fo is 
0.785 to a fourth j and fo is that fourth to the Content re- 
quired. 

I. By ffas/fr with Compaflcs, thus; 

The Extent from 1 to 14 reachwh from 0.785 to 11 ( 
and the fame Kxtent laid the fame Way from i| rcacheth 
•►J/f* «Ae Cpjitent rspuiied. 




Thi Mariner* s Cmpa/s RtSiijied, 




By Che Stt£nj^ Cuniff, Ic isthus; 

Bring I on the middle Piece rigKt iigamft 14 on 
•utftde Piece i then againft 0.785 on the £rfV, i« 11 om 
the fecond j and againfl 11 on the firft, is 154 on the £b- 

cojid, the Content as before. 

Example i. If the Diameter of a Circle bej, and its Area , 
38.5 what is the Area of a Circle whofe Diameteitis >I^H 
Anjmer 1 13. For, ^^^ 

As 7 is to 12, To Js ^3.5 to 66; and fo ie 66 to 113, tha 
Area required. 

Ex/impU 3, If the Diameter of a Circle be i, and its 
Arcio.785, what is the Diameter of a Circle whofe Arc« 
is 154 } AnJvjeTt 14 is its Diameter. 

In ihiSf the Proportion is a Superfices to a Line,which it 
thus: As Area 0.7S5 is to Area 154, fo is the Square of 
the Diameter 1, to the S<juare of the Diameter requireff. ^1 

I. By Guntir with the CompafTe;^ it is thus ; ^H 

The Extent from 0.785 to 154 reacheth from 1 to 156, 
the Square of the Diameter required. 

Then divide the Space between 1 (aiw3ys the Middle i) 
if the Number of Places be odd, but if evcn» the firft i) 
and 196 into two equal Parts; the Foot of the Compaflea 
in the Middle rei^eth at 14, the Diameter of the Circl^ 
vhofe Area is 154. 

2. By the SU^'ing Gunitrt it is thus ; 

Set 0.785 againft r!4, tind a^iinit i on the firft, is igi6» 
on the fecond J then find the Middle between 1 and 196* 
which is at 14, the Diameter as before. 

ExampU 4. The Diameter of a Circk being i, and i— 
Area 0.785, what is the Diameter of a Circle whofe Are*. 
is 113? Anfwtr^ 12 is the Diameter required. 

For as 0.785 is to 1 13 : fo is I to 144 ; the Middle be- 
twccn it and 1, is to 13, the Diir'^te^ ^^oxM-aSi.. 




x88 The Mariner'' i Compafs ReHi^ed. ^H 

I P R O B. X. Of Triplkatt Froporfkn^ or thret Numhen 
I i""»f givin^ i9 ^nd afaurth in a Triplicate Prsportum by the 

^^T* HIS Problem concerneth the Proportion of Lines to 
■* Solids, and the contrary j in which always make the 
fird and fecond Term to be of one DciK^minatton. -, 

Example I. If an Iron Bullet weigh g Pounds, and its 
Diameter be 4 Inches, what is the Weight of another Iron 
Bullet^ whoCe Diameter *is 6 Inches. , 

[To perform this, the firft and fecond Terms arc to bft 
Anes, that is^ the given Diameters j aiid then the Propor- 
tion is thus: 

[■ As 4 is to 6, fo is g to 13.5 j and fo is 13.5 to 20.2 : 
and fo is 20.1 to 30 3; that is, 30 Pounds and 3 Tenth* 
' a Pound, which is the Weight required. 

That is, I, By Gawfrt- with Compaflcs, thus j ' 

The Extent from 4 to 6 being laid three Times from 9^ 
will reach to 30 Pounds 3 Tenths, the Weight required. 

Aodj 2. By the Siiding Gunter, itisthflsj ' 

Set 4 againfl 6, and againft 9 on the i\rA is 13.5 on the 
fccond ; th^n againft 13.5 on the firft, is 20.1 on the fe- 
cond i and agaliift ao-i on the iirft, is 30.3 on the fecond, . 
that ii 30 Pounds 3 Tenths, as before. ] 

Example 2. If an Iron Bullet i Inch Diameter, weigh, 

Pounds 0.1406 Pans, what is the Weight of another whafc 
Diameter is 4liiches, it being of the fame Metal i Anfwer, 
9 Puunds. For, 

Ae t IS to 4, fo is 0.1406 to 0.562 ; and fo is 0.562 »', 
3.a5;-!^^dfo ij a.Sjtog Pounds, the Weight required, ' 

K- Bx0mfu 



■ The Mariner's Ccmpafs Re^ijied. 

Example 1- IfaGun 6 Inches Bore require II Poutids 
of Powder^ how much will fcrve a Gun 4 Inches Bg| 
Anfwej", Pounds 3.25 Paris, 

For, As 6 ii to 4, fo is 11 to 7.31 and fo is y.3| 

4.88; and fo is 4.88 to 3.25 ; which is Pounds 3.25 Pa 
of a Pound, or Pounds. 3^ of Powder. 

Examph 4, If an Iron "^ullet I Inch Diametcf weigh 
Pounds 0.1406 Parts, what (hall the Diameter of that Ue, 
which wcigheth g Hounds of the fame Metal ? Anfwef, 

For it is thus ; Ai 0. 1406 is to g^ fo is I to 64, the 
Cube of ihe Diameter required j then divide the Space be- 
tween I and 64 into 3 equa.1 Parts, and the Foot of the 
CompafTes in the iifft ^ Part from 1 rcachirg 104, thcl^^ 
amcter of the Iicn Shot weighing 9 Pounds. ^H 

II, The Vfe gf the Lint of Numhirs^ cemmanly eaUid Gun- 
tcr's Line, in meafuriag Superfiim^ at Board, Glefst 
Laniy &c. 

P R O B. I. Tht Lepph and Breadlh ef any Square^ ar La _ 
fqunre, Supcrjii:iei being given, W /rid tie Area or Conifnl 
ibtrtif, 

TH £ Proportion is this ; As i is to the Breadtb, fg 
the Length to the Content. 

Example I. A Plan* Superficies, as a Bosrd or Plank, 
being given to he meafured, the Breadth thereof is 15 
Inches, and its Length 61 Inches j what is the Content of 
it? Anfwer, gi5 Inches. 

For, 3s 1 is CO 15, fo is 61 to 915 Inches, the Content 
required, 

J^ott^ Such as the Breadth and Leneth arc, fuch is the 
Content; fo that if (he Breadth and Length be Feet* 1^ 
Content is Fert; if Perches, then Perches, ^c. ^^ 




^be Marhfr^s Ccmpafs RiEliJied* 

BxMmplti, A piece of Wainfcol in Foim of i long 
' Squart, wbofe Length U Feet 15.5 P^rts, and Breadth 
I Feet 1.5.5 Par" ; what U the Content ? Anjivery Feet 34.87 

Parts. For as t is to 1.25 fo i» 15.5 to 34^.87; that is* 

Feet ^ and 87 Pzrts ts the Content. 

P R O B. II. The Bresdth and Lmgfh ef a SttperfcUt ieing 

K given in tnt Kind af Mtafurt^ to jiai tot Cantint thtrt^f in 
gmathir Kind sf msajure. 
r 



N' 



O do this the Pioportion is thus : As the Number con- 
tained in the Area of Unity in the required Kind of 
Mcafurc, ES to the Breadth ; fo is the Length to the Con- 
irnt defired. 



Exan^lt 5. A Plank or Board 15 Inches "broadj 61 Inch- 
es long, I demand the Content of it in Feet \ Aafwtr, Feet 
I 6.35 Parts of a Foot, For ^ou muft note in a Foot Super- 
I ficial^ cr a Square Foot, is 14.4 fquare Inches^ and there- 
' fore rhe Proportion is thus; As 14,4 i* to 15 Inches, fo 
Li* frl Inches to Fact 6.35 Parts of a Foot, ttie Content, 

^V Exsmplf 4. A Piece of Land in Form of a Long Square, 
vhofe Breadth is ^o Perches, Length 183 Perches ; What 
I fs the Content in Acres I /tnfwiTy Acres 34.31 Parts. 



K 

r 6> 



Kotf, 160 Perches is an Acre, and the Proportion, is thus: 
^5 i&o Perches i» to 30 Perches, fo is 183 Perches to 
^cres 34-43 Parts cf an Acre, ibe Content of the Piece of^ 

and 



Essmpli 5. A Piece of Painting in Form of » Long 
GquaiC) whole Breadth in Feet is 3.51 and iis Length ai 
feec, liow many Square Yards is the Content? jfttj'wrr^_ 
yards 8.16 Farts of a Yard. ( 

J^ete, 9 Feet 11 a Square Yard, and the Proportion is 

As C| b to 3.5 Feet, fois ar Feet to Tards 8.\6 Parts oP 
YMd, the Content. * F R O B, 



r 



^he Mariner's Compafs RtQijisa, 

P R O B. III. Thf Brtadih »J a Superjidei being givtn in tnt 
.Kind if MtQJUTi^ and the Lingth in another -^ to find iht 
Csniftt in the greater Mcajiirt. 

I O do thiSf the Proportion is thus : As fo maa^ of tbs 
leltci Kind of the given Meafure, as is equal to the 
Length of one of the required Meafurc, is to the given 
leffer Meafure, fo is the given greater Meafure, to the Cqo* 
tent in the Meafure required. 

Example 6. Admit there be a BoarJ of lo Tnchea broad, 
and ao Kcet lonj;, I demand tbd Content in Feet f Jnfuftr^ 
Feet 16-6 Tenths of a Foot^ 

For the ProportioQ is thus: As 12 is to 10 Inchet, (q 
is 10 Feet to 16,6 Tenths. 

Examplt 7. If a Board or Plank be 15 Inches broadband 
27 Feet long, what is the Content of it in Feet ? jtnjwir^ 
Feet 33-75 Harts of a Foot, or 33I Feet. For as 12 is 
15 Inches, fo is 37 Feet to 33.75 Parts. 

Exempli 8, A Board 7^ Inches broad, and 29 J Feet 
long, what is the Content in Feet? Anfvjir^ Feet 18,2^. 
For, it is as 12 is to 7 y| i To 15 29 t4I* to ^^^ iS.2^ 

Parts. 

Examplt g. A Piece of Land in Form of a long Square^ 
whofe Brtadth i^ 30 Perches, and Length in Chains 15.1J 
Links [mcafured by a Chain of 4 Perches in 100 Lrnk3jL 
I demand the Content thereof in Acres ? jfnfwtr^ Act^ 
If. 44. For it is. As 40 is to 30 Perches, fo is Chaini 
15.25 to Acres 11.44 P^fts of an Acre, 

PR O B. IV. The Breadth of a Suptrfdts hting given is 
find hew much in Length iviU make a Foft^ a Yard, Ptrcb, 
er an Jcrcf &c., 

'O do this, take this general Rule ; As the Breadth it 
to a Foot, a Yard, iJc, fo is a Foot, a Yard, tft. 
that Length which wiil/nake a Foot, a Yard, iSc. 





The Mariner's Compajs Rectified. , 




III. IhtXJfe 9f tht Line ffNumb/rf^ in fiUd Mtajurt^ 
as Timhtr^ Stotu, Gas^jngj i^c, 

P R O B. I. 7 he Si4fe of e S^mre Solid being giv/n in Jnthu, 
to Jin4 how much in Ltngth wiii nuih a Foat SoHd, 

TpHE Proportion is thus-. As the given Side is to J2, 
■* fo IS 12 tfi a fourth Number; and fo is chat fourth, 
Number to the Length required to make a Foot Solid. 

■Exampit t. A fquare Piece of Timber or Stonc» whole 

"Breadth and Depth are each 8 Inches j how much in Length 

will make a Foot Solid f yinftutr, 37 Inches, or 2 Feet % 

Inches: For it is, as 8 is to i2, lb is 11 10 185 and 

fo is j8 to 27 Inches in Length, to make a Foot, ^J 

Ex&mpit 4. A fquare Piece of Timber or Stone, who?^ 
Side is 2 Feet or 24 Inches ; how much in Length will 
make a Foot? Anfxuer^ % Inches. For it is> as 24. is to 
12, fo is 12 to 6 ; and fo is & to 3 Inches in Leng 
ta make a Foot Solid. 



:^ 



f R O B. II. TW Side «f a Squart S4ii given in Foot MdH' 
fuTty (that f'l, tht Dtcimal Feft, er a Font divided inta 
100 equal Parts) to find htvj much in Length v/ill 



ti Fe9t Solid. 



nf H E Propt 
* b is I t{ 



jn^t^ 



sortion is thus • As the given Side is to i, 
to ft fourth Number » and To is that fourth 
Number to the Length required to make a Foot Solid. 



Bxamflt 
Feet T.52 



fc 



A fquare Piece of Timber whofe Side 

■'arts ; how much in Length will make a Foot 

Solid? AnJ^er, 0*432 Parts of a Foot. For it is as 1.52 

15 to i> ib ii( I Co o.6j8 } and fo is g.6i8 to 0433 ParU_ 

of a Foot. ~ 

R O 




the Mariner's Compa/i RiHifieJ, 



^9& 



P U O B. Ilf . The Breadth and Depth e/a Se!U, vjhoft ^w^i 
Bndi aft t^ual long Stuarts, (v'tz. Re^angUs) hting givi^^ 
in Inchtiy at in Fm Miaptu i H find hffm mach in Ltngi^M 

for lTichc$ Is thus ; As I* is to the 

i$ the D^pth to a fourth Nutnbec : 

Then, 



wsH mah a Feat Soild. 

*T> H E Proportion 

* Breadth, fo is 



Asihat fourth Number is to 12, 
in Inches id make a Foot Solid. 



fo is 12 Co the Ler 



2. The Proportion for Foot-Meafure is thus : As I U^ 
the Brcadthj fo is the Depth to a fourth Number ; and th« 
« that fourth Number is to i ^ fo is i to the Length in Foe 
Meafufc, to make a Foot Solid. 

Exompii 4. A Piece of Ti/nbcr or Stone^ whofe Breadtb 
is It, and Depth 19 Inches \ how much In Length wUl 
make a Foot ? Artfwtr, Incl^s 8.27 Parts. For it is as la 
is to II, to is 19 to 17.4; And then fay, aj 17.4 ia t* 
12, fo is to 12 to Inches 8.27 Parts in Length, to m 
Foot SoJid. 



1 

cnetn ' 



Examph 5. A Piece of Timber, In Breadth Feet 
Parts, and Depth Foot 1.25 Parts; how much in Lcngtl 
will make a Foot Solid ? jfitfwtr. Foot 1.06 Parrs, tor 
it i), as 1 is to 0.75, (b is 1.25 to 0.94: Then fay, a» 
p.a4 is to I, fo i» 1 to Foot 1.06 Parts in Length, to m 
a Foot Solid. 






P ROB. IV. The <Sidt ef a Sftrare Solid, and iff Lingtb 
l/eifg given, to Jind the Content, 

^tX? HEN the Side is given in Inches^ and Length f^ 
^^ Feet» the Proportion is thus : As 1 2 is to the g'^'^^j 
Side, fo is the Length to a fourth Number ^ and fo is tfa|H 



fourth Number lo the Content in Pott, 



the Mariner's Cofhpafs ReSfified. , 



III, IhtVfe of tht Line sf l^umhers^ in folld Meafurti fuch 
as Timber^ Sisne, Gauging^ ^c. 





P R O B. I. Tht Sidi of a Square Solid ifcing givin in Inihtt, 
to find hmu much in Ltngth will mail a Fett SoHd, 

H E Proportion is thus : As the given Side is to 12, 
fo is 12 to a fourth Number ^ and fo is that fourth 
Number to the Length required to make a Foot Solid. 

I - Exanipie I. A fquare Piece of Timber or Stone, whole 

"Breadth and Depth are each 8 Inches ; how much in Lenjjth 

will make a Foot So3id ? Anfwer^ 27 Inches, or 2 Feet 3 

Inches: For it is, as S is to 12, fo is 11 to i8; and 

fo is i8 to 2; Inches in Length, to make a Foot. 

Exampli 2. A fqua.re Piece of Timber or Stone, whofc 
Side is 2 Feet or 24 Inches j how much in Length will 
make a Foot? Anfwtr^ % Inches. For It is, as 24, is to 
]2, fd is 13 to 6 ; and fo is 6 to 3 Inches in Length, 
tomakeaFoot Bdid. 

P R O B- II. Hh Sid* ef a Stuart Solid givtn in Fm Mtet~ 
forty (that ify the Dmmal FseSf er a Fast divided inta 
lOO equal Partt) to find hata much in Length wiU maki 
u Fert Solid. 

'TpHE Proportion is fhua : As the given Side is to i, 
* fti is I to a fourth Number; and fo is that fourth 
Number to the Length required to make a Foot Solid. 

ExampU 3. A fquare Piece of Timber whofe Side is 
Feet 1.52 Parts ; how much in Length will make a Foot 
Solid? jfnjwtrj 0.432 Parts of a Foot. For it is as i.5« 
is to [» fo IB 1 £0 0.6 j8 i and fo is 0.6 j8 to 0.432 Parts 
cfaFoet. 

? R O B. 



The Mariner s Com^i^s Re^^ed^ 




fey, as 12 is to 17.4, fo is 20 to Feet J9-03 Parts the Coi 
tent required. " ' " ' 1 

Example 10. A Stone 20 Inches broad, 13 Inches 
and Fwt ijf or 15 il^ Feet in Length ; How mucl^ is ^h<i 
Content ? Jnfivtr^ Feet 27.5* ' W I 

For it is, as 12, is to 10 ; fo is 13,, to 11-67 : And ttiejium 1 
12 is to 21.67 J ^° '^ 'S-^Jj to i7-5» tliat is jyi Feet i^^^isj^ 
Content. "" 




Example 1 1 . A fquare Piece of Timber, Feet 1 .15 br 
Feet 0.56 deep, and 36 Feet long ; how much is the Co]! 
tent ? Anjwer, Feet ^5.20 Parts, or 25 ^s Feel, For it 1^ 

As I, is to 1.25 ) fois 0,56, to 0.7 i and then fay, as i is 
to 0.7; fo is 36 to Feet 25,2 Tenths, the Content required. 

PROB. VI. Tht Dlamitr o^aCfVindfr biine givtfittofind 

how muih IB length •wilimaki a Fsst Selid. 
I. T F the Diameter be given in Inches, the Proportion is 

■* thus: As the given Diameter is to 13531; fo is li to 
a Fourth Number j and fo is that fourth Numbei to the 
Length required to make a Foot Solid. 

2. When the Diaametcr is given in Foot Meafure, the 
Proportion is thus : As the given Diameter is to 1. 128; (ft 
IS I to a fourth Number^ and fo is that fourth Number to 
the Length, which will make a Foot Solid. 

Example 12. A round Piece of Timber, or Stone, being 
15 laches Diameter \ how much in Length will make a 
Foot Solid ? Aj!ftun\ Inches 9,^6 P^rts of an Inch. For 
it is. 

As 15 is to 13.531 ; fo is 11 to lo.Sz, and fo is 10.82 to 
Inches 9.76 Parts* or 97^5. Inches ; But fuppofing thcDii 
meter of the ramc to be taken in Foot Meafure, thew t 
<2ueftion is Foot 1.25 Parts j and how much will make 
Foot Solid ? Anfwer^ Foot o.6r Parts of a Foot, 

For it is thus: As 1.25, is to 1.28; fo is 1 to 0.90a ; 
and fo is 0.902, to Foot 0.8 15 Parts, or -r|H Foot to make 
a Solid Foot. 

N 3 '^■^.'^i^. 



•3-1 




^ 



Mariner*: Compajs RiHiJied. 



v.Wlien the Side and Length are both given in Foot- 
UEeafure, the Proportion is thus. As i is to be give^ 
Side ; fo is the Lcngch to a fourth Number j afid fo is thi 
fourth Number to the Content required. 

.J lExampleb.^ .A Square piece of Timber, whofe Side 
a tnches, and LengtK 35 Feet j how many Feet of Tii 
her are in it ? Anj'wtr^ Feet 19.68 Parts. For it is, _ 

J As 12 is to o, fo is 35 to 26.25 ; and fo is 26.25 ^° ^f^^ 
15.68 Parts, the Content required. - 

Example 7. A Pirce of Timber 16 Inches fquarc, ai_, 
■ 28 Feet long, how much is the Content ? Jnfwtr 50 FeelL 
For it is, as 12 fe to 16, fo is 2S to 37.3, and fo is 
37.3 to +9.8 Feet, the Content of the Piece of Timber. 



ExampUZ. A Stone, Feet 2.75 Parts Square* and Feet 
^.50 Parts longi how much is the Content ? Jnfwrr Ycst 
1672 Parts. 

For it is, as i is fo i 75, fo is 7.50 to 20.6 ; and fo Is 
s, the Conteiit required. 



is, as I !s fo 1 
10-6 to^Feci 56.72 Parts, 



P R O B. V. The Len&hih, Breadth^ and Depth of a Squarf 
Solid bi'ing gsvtn^ to find the Sslid Content. 

r. J F tftcKTW<JthandDeptTiT>egrt%ik(ftTftchei, and the 
■* Length m Feet, the Proportion is ihus: As I3 is 
the Breadth, fo is the Depth to a fourth Number. Tlifrn 
As 12 is 10 that fourth Number, fo is the Length ra 
Feet to the Content in Feet. 

2. When the Length, Breadth and pepth are all given it 
FVtOt-Mcafure, then the Proportion is thus ; A^ i is to tl 
Jreadth, fo is the Depth to a fourth Number; And thf 
lia fay. As i is to that fourth Number, fo is the ]jengt 
the Content in Feet. 

Extmplt 9- If a fquare Piece of Timber be in Brcadi 
i^^/ncbes, Depth 11 Inches, and 20 Feet long; hoi 
m^h i$thc Solid Conterit? ■.^n/m(T,¥eKX.iti,Q^ Parts. 



N 



The. Marmfs Com^aji Re^ijisd-,, 




fay, as \% is to 17.4^ fo Is 20 to Feet sg.oj Parts the C< 
tent required. ' 
Examph 10. A Stone 20 Inches broad, 13 Inches 

and F«et 15J or 15 -t^ F^et in Length j How mutJ^i^ ^h^ 
Content ? Anfwir^ Feet 17.5. ' (^ 

For It is, as J 2, is to 20; fo is 1 3, to 21.67 : And then afl 
12 i$ to 21.67 i fo J= '5'^S> *t> *7 S» that is J7^ Feet *a tW 
Coment. "" 

Example r i. A fquare Piece of TimberjFeet 1.25 
Feet 0.56 deep, ana 36 Feet long ; how diuch ii tne Colt' 
t?nc ? Anfwer, Feet 25.10 Parti, or 25 tb^ Feet. For it is> 

As i» is to 1.25 ; fo is 0.56, to 0.7 \ and then fay, as i ij^ j 
to o.7i fo is 3610 Feet 15.2 Tenths, the Content required. | 

P R O B. VI. Tht DiQtneltr o^aCylindtr htinr ghm, tojiftd 

hsw muih in ienglh wiUmake a Foot Sfiid, 
I. ¥ F the Diameter be given in Inches, the Proportion is 

*■ thus^ As the given Diameter is to ij^j^ii fo is 12 to 
a fourth Nutnber ; and fa is that fourth Number to tj^^ 
Length required to m^Ice a Foot Solid. t^^k 

2. When the Diaameter is given in Foot Meafure, tfi^^ 
Proportion is thus : As the given Diameter is to 1.12S ; fo ' 
is 1 to a Fourth Number, and fo is that fourth Number to 
the Length, which will make » Foot Solid. 

Example 12.. A round Piece of Timber, or Stone, being 
15 Inches Diameter j how much in Length wiU make « 
Foot Solid ? Anfwet^ Inches 9.76 Parts of an Inch. For 
It is. 

As 15 13 to 13.531 ; fo is 12 to 10.82, and fots 10.82 to 
Inches 9.76 Parts, org-i-lw Inches : But fuppofing the Dia- 
meter of the ftime to be taken in Foot Meafiire, then tl 
K^eftion is Foot 1.25 Parts j and how much will make 
Foot Solid ? Anfwtr^ Footo.fii Parts ofa Foot. 

For it is thus -. As 1.25, is to 1.28 } fo is i to 0.902 ; 
and fo is 0.902, tg Foot 0.815 Parts, or t|H Foot to make 
a Solid Foot. 

N 3 -^V-<=fc^^ 



^ 







The Mariner's Ompa/s Re^/fed, 

'VROB. VII. ThtCircumferemtof aCyrmderhei/igglk 
te fitt4 hdm mmh in t-tngth wiU tnoh n Font Solid. 



N 



TTr HEN the Circumference is given in Inches, th( 
; ' Proportion is, ■* 

As the Circumference is to 4.2-54., fo is 12 to a fouriL 
Number, and (a is that fourth Kumber to the Length re3 
required to make a Foot Solid. 

3. But tf the Circumference be given in Foot Meafurcj 

then the Proportion ist i ' ■ ' I 

As the Circumference is to 3.545, fo is i to a fourth 
Number;^ and fo 'is that fourth Number to the Length, 
to make a Foot Solid. ■* ■ ■ .... \ 



¥ 



^ Example 2- If a round Stone or Trw, be 44 Inches about, 
how much ill Length will make a Foot ? jnfwtr-t Icichej 
11.22 Partt. For it is, 

As 44 is to 42'54t fo is 1? to 1 1.6 -, and fo is 1 1.6 to 
Inches 11.22 Pares of an Inch» or rbc Iiuhes. 

But fuppofe the fame was meafured hy Foot-Meafure, 
and the Circumference found to b^ Feet 3.67 Parts, how 
much in Length will make a Foot? Anjtuer^ Foot O.933 
parts, or rSli. For it is thus ; 

As 3.67, is to 3.545; fo is I, to 0.966; and fo is 0.906 
to Foot 0.933 Parts, or -ilH Foot, 

PROB. VIU. The Diet^itff and Length 9f a Cylindtrhm 
givefif ta find t^e Sffii4 Cintent. 



I, \TI/ HEN the Dian:eter is given in Inches, aue 
. ■' Length in Fett, the Proportion i? thu^j, 






As I3>S3I ^^ ^° ^^^ Diameter, fo i$ tlie Length to' 'I 
urth Number i and fois that fourth Number to the SuU 

Content in Feet. 
2. If the Diameter anij Length are both given, in Foot- 

^egfure, then the Fiopoition is thus; 

Courfe 



ths Mariner's Compafs ReSfificd. 



199 



As i.riS is to the Diameter^ fo is the Length to a fourA 
Number i and fo is that iburih Number to tliC Content 
required. 

Exempli i\. A round Piece of Timber id Inches thi 
and 30 rcet long ; how many Feet of Timber are in it ? 
Anfiiiir^ Feet 16.38 Parts. For it Is, as IJ-SJJ is to 10, 
fo is 30, to 22.16 J and fo is 22.16, 10 Feel 16.38 Parts of. 
a Foot, or 16 Feet. ^H 

But fuppofe the fame- Piece js meafured by Foot McafurCi 1 
then it is Feet to 0.83 Parts through, and the Work is thus : 

As |.]28 is to 83, or 0.83, To 15 30 to 22.16 ; and fo is I 
21. 16 to Feet 16.38 Parts, or 16 -^W Feet as before. ^^ 

P R O B. IX. The Circumference and Length of a Cylina^^ 
hfiig givtrtf tQ fnd tht Solid Csntent. 1 

I. IF the Circumferencebe given in Inches, and theLength 

*■ in Feet, the Proportion is thus : As 42.54 is to the 
Circumference, fo is the Length to a fourth Number ; and . 
fo is that fourth Number to the Solid Content in Feet. I 

2, When the Circumference and Length are both given 
in Foot-Meafure, if ihc firft Term be made 3,54,5 (inftcad 
of 42.54] the former Words will ferve. 

Example 15. A round Stone or Tree, being 30 InchcB 
aboutj and 25 Feet long, how many Feet Solid are in it! 1 
Jnfwer^ Feet 11,43 P^f^^. For it is thus; As 42.54 is to 
30, fo is 25 to 17'63 ; and fo is 17-63 to Feet 12.43 Parts ' 
pr laf^ Feet. 

Now the Compafs about being taken In Foot-Meafurc is 
Feet 2.50 Parts, and the Proportion is, as 3.545 is to 2.50, 
fo is 25 to 17.63; and fo ia 17.63 to Feet 12. 4J Par»^ 
or i2f ^3 Feet as above. ^-. jfl| 

ATflrr, When Timber Tapers, that is, bigger at one £m^ 
than at the other, it is ufual to take the Breadth and Depth 
in the Middle of its Length, and by them to meafurethe I 
Pipces ?s if b olh Ends were of a Bienefs. 

N 4 ^**.' 




9 



1^2 The Mariner's Compafs ReSiifiei 

ExampU 10. If a Board be 7^- Inches broad, how much 
in Length wUl make a Foot ftju^re I Antwert Inches 19.2 
Tenths of an Inch. 

For the Proportion is thus: As 7.5 is to 12, fo is u to 
Inches ig.2 Tcjitbs nl Length, which will make a. Foot. 

Bxavtph 11. A Plank is 30 Inches broad, how much in 
Length wiJI make a Foot? Anfwcr, Inches 4.8 Tenths in 
of an Inch. > 

For 3s 30 Inches is to i2, fo is 12 Inches to 4.8 Tenths 
^ia Length to make a Foot. ^ 

ExampU 12, A Pane of Glafa being in Brradth FccC 
a.5 Tenths, how mych in Length will make a Foot? An- 
fwer, 4 Tenths of a Foot. For it is thus ; ■ 

As 2-5 is to I Foot, fo is i Foot to 04 Tenths of fl 
Foot in Length to make a Foot. fl 

ExampU 1 3. A Piece of Matting bein^ 27 Inches broaJ 

how much in Length will make a Yard fquare ? Anfwejfl 

48 Inches, or 4 Feel. For it is thus ; ■ 

As 27 Inches is to 36 Inches, fo is 36 Inches to 48 
Inches : But if the Breadth be given in Feet, that iSj if fo^ 
ay Inches it be 2^ Feet, or 2.25 Feet, then it is thus ; , m 

As 2.25 i^ to 7 Feet, Co is 3 Feet to 4 Feet in Lcagtb^ 
to make a Yard ^uare, 

PROB. V. Tht Dhmtur sfa Cireft Behg giwtTi l<t/n^ 
(fit Circumferenct. fl 

THE Analngy or Proportion is thus : As ! is to 3.14^ 
fo is the Diami'ter to its Circumference. fl 

Example \\. If the Diameter of a Circle be 15 InChcsJ 
what is the Circumference of it.' Anfwcr, Inches 47-19 
Parts of an Inch. ^ 

For» as j is to 3.t45» fo is 15 Inches to Inches 4-7- »3 
Faits, the Circumference required. 

? R O B. 



r 

^PROB 



The Marhifr's Ccmpa/s Rect$ed. 



^^^^ 



ROB. VI. 7ht Ctreumfennce afaCirelt hting gtvtn, iff 
find hi Diatntur. 

hp H E Proportion is this : As 3, r^l is to i, io is the 

■* Circumference to i't DiameKr. 

EKsmple 15. The Circumference of a Circle being 44* 
Feet, what Js the Diameter thereof? 4r^^tr Feet 14, /of 
' is, 

Ls 1.142 is to 1, fo is 44. Feet, to Feet 14 the Diameter. 

ROB. VII. Thi Diameter of a Cirete bfinggwiftitajia^^ 
its Ar$a, or fuperpd'al Cmtint. 

The Proportion is thus : 

^ S T is to the Diameter^ fo is 0.7854 to a fourth Num-' 
Ur, and fo is that fourth Number to the fuperficul 
^bntent required. 

Exampie 16. The Diameter of a Cfrcle being 15 Inches,] 
what is the Content of it I Anfwer^ Inches 176.7 Parts. 

For it is, as 1 (015, fo is 0.7854 10 1 1.78 i and fo is 11.78 
i^&.y the fuperficiitl Content required. 



R O-B. Vm. Tbt Cirtumfertrtct of a CirtU Mug gi-t^i 
ttjind the fuperjicial Cantent sfit. 



f 

^B The Proportion is this 

^Ka S I Is (0 the Circumference, fo is 0.07958 to a fourth 
^* Number, and fo is that fonrth Number to the fuperfi- 
ciil Content required; 

Exemph 17. If the Circumference of a Circle be 44 In- 
'Chej, wrfiat is the Content ? Anfwtr^ Inches 154^06 Partef 
^^ Inch. For it h, 

^^As z is to 44, fo is 0.7958 103.5; and fob j.jtolnchei 
^54.^6, the CMtcnl required. _ 



p 



194 



The Mariner's Compa/s ReSlified. 




III. tht Vft tf tht Lint ^fNumhert, in filli Mtafure^ 
as Hmher^ Stents Gouging^ ijfc, 

P R O B. I. 7&t SiJe of a Square Solid being givOi inlnd 
t& find hew mucb in Length will make a F»9t Setid. 

'T^ H E Proportion is thus: As the given Side is to I2, 
* fo is 12 to a fourth Number; a-nd fo is that fourth 
Number to the Length required to make a Foot Solid. 

\ '^Example t. A fquare Piece of Timber or Stone, whole 
Breadth and Depth are each 8 Inches ; how much in Length 
will make a Foot Solid ? /tnjwer, zj Inches, or 2 Feet 3 
Inches : For ic is, as 8 is to 12, (o is 12 to iS ^ and 
fo is 18 to 27 Inches in Length, to make a Foot. 



Example 2. A fquare Piece of Timber or Stone, who 
Side is 2 Feet or 24 Inches ; how much in Length will 
make a Foot ? Anfiuer, 3 Inches. For it is, as 24 is to 
1 2} fo is 12 to 6 i and fo is 6 to 3 Inches in Leng ' 
t«niakc a Foot Solid. 



^ 



^ 



P R O B. II. 7»ff ^lit af a Sqmrt SoUd given in Foot Mta* 

fure, {that ii, the Decimal fsH, cr & Fsttt divided int» 

roo t^ual Partf) tit find htw much in Length tvill 

a Foot Sotfd. 

*¥^HE Proportion is thus: As the given Side \% to 
■^ f« is I to a fourth Number ; and To is that founh 
Number to the Length required to make a Foot Solid. 

ExampU 3. A fquare Piece of Timber whofe Side 
Ftet 1.52 Parts ; how much in Length will make a Foot 
Solid ? Anjwtr^ 0-432 Parts of a Foot. For it is as 1.52 

to f , fo li 1 to 0.658 i and fo is 0.658 to 0-431 Pa 



IS 



of a Foot* 



PR O B. 



^hs Mariner's Cmpa/i R^SiiJiid, ig^ 

^P R 6 B. Ill the Breadth and Dtpth of a SofiJ^ wht>fe tva 
Ettds atee^ual hrtg Stuarjn^ (viz. Re^an^ki) being give 
in Ifuhtft of- <*i ^est Afrafure i /a find hotv muth in Ltii 
Villi maki a toot Satfd. 

r*Tp H E Proportion for Inches is thus:, As i» is to the 
* Breadth), fo ia ihe D^pth to a fourth Numbcf: 

Then, 



As that fourtli Number U to 12, fo i$ 12 to the Lcn^ 
tin Inches to make a Fbot Solid. 



I 

^P 2. The Proporijon. for Foot-Meafurc is thus : As t is to 
^^ the Brradth, fo is the Depth to a fourth Number? and then,' 
^^ a'B that fourth Number is to 1, fo is 1 to the Length in F;Qoi 
^■.Meafure^ to make a Foot Solid. 

Pi 



Exampli 4. A Piece of Timber or Stone, whofe Bread! 
is Hi and Depth 19 Inches; how much In Length wil 



make a Foot ? Anfwer^ Inches 8.27 Parts. For it is as 1% 
is to I r, fo is 19 to 17.4. : And then fay, as 17.4 is f "' 

^^ ri, fo is to 12 to Inches 8.27 Parts in Length, to nMlce 

^■hFoot Solid. 

^K Example 5. A Piece of Timber, In Breadth Feet 0.7J 
^KP^rtSi and Depth Foot 1,25 Parts ^ how much in Len^ 
^Ewifl make a Foot Solid i Anfwer^ Foot i,o6 Parts. F< 
^B,it is, as I Is fo 0.75, fo is 1.25 to 0.94: Then fay, 
^K 0'94- is to J, fo is 1 to Foot 1.0& Pans to Length, to m^ 
! a Foot Solid. 

P R O B. IV. Tht 'Sidf cf a Stuart SolU, &nd its Ltfig 
ifiing gitien, t» find ihe Conttnt, 

It VJI7 HEN the Side is given in Inches, and Length Jfi. 
' ** ' ' Feet, the Proportion is thus : As J2 is to the given 
Side, fo is the Length to a fourth Nuniber ^ and fo is that 
fourth Kumbc;^ 10 the Content in Fccc. 

N 2 l.,M^\*». 




f^ ri^ ^Mariner* s Compafs 'RtSiiJied. 

t. tVlien the SItJe *nd Length are toth given in Foot- 
Meafurr, the Proportion is thus. As i is to be given 
Side J fo is the Length to a fourth Number ; and fo is tb 
fourth Number to the Content required. 

^^ Exafnp^f^; A Square Piece of Tim'ber, whofe Side la 
9 Inches, ana Length 35 Feet ; how many Feet of Tim- 
ber are in it \ Anf-wer, Feet 19,68 Parts. For it is. 

As 12 is to Q, fa is 35 to 26.25 • ^nd fo is 26.25 '<* ^t«t 
19.68 Farts, the Comcnt required. 



Example 7. A Pirce of Timber 16 Incbes fquajc, a 
"iS Feet l(jng» how much Is the Content I Anfv)ir 50 Feet! 

For it is, as 11 Es to [6, fo is 28 to 37.3, and fo is 
[37.3 to 4.9.8 Feet» the Content of tlie Piece of Timber. 

ExamfU 8. A Stone, Feet 2,75 P^irts Square, and Feet 
^.50 Parts long, how much is theCoBtent ? Anftver Ftet 
S672 Parts. 

For it is, as i is fo 2 7^5, to is 7.5b to 20. 6; and fo is 

ko.i6 to Feet 56.72 Parts, the Content required. " 

PROS. V. Th/ Lenghth^ Breadth^ and Depth of a S^atr 
Silid being givtHf ts find iht Solid fiaifent, 

T F the Breadth and Depth bfc gi'rein iri lAcri^s, and tH 

^ Length in Feet, the Proportion is thus : As u is 

the Breadt^, fo is the Depth to a fourth Number. Then 

y. As 12 is to that fourth Number, fo is the Length ia 

Feet to the Content in Feet. 

3. When the Length, Breadth and pepth arc all pvcn l 

t-Meafure, then the Proportion is thus : As i is to the 

readth, fo Is the Depth to a fourth Number % And then 

in fay. As 1 is to that fourth Number, fo is the Lepgjth 

the Content in Feet. 



I 

IP ■ 




WKcbi 

mk 



Exsmplt 9. If j^fquare Piece of Tlniber be in Brea 
./aches. Depth n Inches, and 20 Feet longs bo 
fb is the Solid Content* Mnjwgr, Vest iq.oj Parts. 
iVisthuG: As IZ, Wto \q\ Sov^^\» MA '^" 





I 

I 



The. Mariner's Com^ajs Re^ifietL 

fay, 35 12 is to 17.4, fo is io to Feet 29.OJ Parts the C< 

tent required. ' ' ' ** •^■ 

Example m. A Scone 20 Inches broad, 13 Inches 

and Feet 15? or 15 i|4 Feet in Length ; How muijh^i^ 
Content ? Anfwer^ Feet 27.5, ' i 

For it is, as 12, is to 10; fois 13,1021.67 : Andtljej! 
12 is to 21.67 i 'o is 15.25, to 27.5, that is 27! Feet "^^ 

Content. 

Example f I. A fquare Piece of Timber, Feet 1.15 broqd. 
Feet 0.56 deep, and 36 Feet long ; how much i* the Con- 
tent ? Anfwtr^ Feet 25.20 Parts, or 25 ^^ Feet. For it is. 

As I, is to 1.15 jfo is 0.56,10 0.7 ;, and then fay, aa t is ^ 
to 0.7; fo is 36 to Feet 25.2 Tenthi, the Content require^, j 

P R O B. VI. r*e Diameter of a Cylinder being £iven, to ^4 j 

how muik in length willmaki a Fm Ssiiii. ^H 

I, I F the Diameter be given in Inchcs» the Pfoportiofl^H 

* thus; As the given Diameter is to 13.531 j fo is t a to 
a fourth Number; and To is that foufth Number ^o 
Length required! to make a Foot Solid. 

2. When the Diaameter is given tn Foot Meafure, 
Proportion is thus : As the given Diameter is to 1. 118 i fo 
is I to a fourth Number, afld fo is that foursh Numbet to 
the Length, which will make a Foot Solid. 

Example 12. A round Piece of Timibcr, or Stone, being 
15 laches Diameter ; how much in Length will make t 
Foot Solid ? Jn/wer, Inches 9.76 Parts of an Inch. For 
it is, 

As. 15 19 to 13.531 i ^^ '^ '^ '°^ 10.S2, and fo is lO.Sato 
Inches 9.76ParTs, org^^l Inches ; Butfuppoling the Dia- 
meter of the feme to be taken in Foot Mearure, then t' 
Qiieftion is Foot 1.25 Parts ; and how much wiU ma 
FootSolld? j/ff/ii^ff, Footo.Bi Partsof a Fool 

For it is thus: As 1.55, is to 1,28; fo is i to o.goi ;' 
and fo 16 0.902^ to Foot 0.8 15 Parts, or tIJb Foot to make 
a Solid Foot, 






ntha_i 



z^l 



The Msrimr's Compa/s ReHifsd.^ 



G 

^PROB. VII. Tbt Circumftrencc of <t Cylindsr be'ng^ 
^H " to find beu] much in Length tviit make a Fast Salid. 

^r1< \]i7 HEN the Circumference is given in Inches, thj 
'T Proportion is, ■■■ ■ 
As the Circumference is to 4.254., fo is i;l to a fourti? 
Kumbcr, and fo Is that fourth Number to (he Lengtli rc- 
icquired to make a Foot Solid. 

a. But if the Circumference be given in Foot MeafureJ 
then the Proportion is. 

As the Circumference is to 3.545, fo is i to a fount 
Number;^ and fo 'is that fourth Number to the Lengthy 
to make a Foot Solid. 

Example ^. If a round Stone or Tree, be 44 Inches about, 
how much in Length will make a Foot ? Anfwsry Inchci 
^ii.st Part*. For it is, 

As 44 is to 42.54, fo is 13 to 1T.6 ; and fo ts 1I.& 
Inches 11.22 Parts of an Inch, or -ris Inches. 
■ But fuppofe the fame was meafured hy Foot-Meafiir , 
snd the Circumference found to be Feet j.67 Parts, ho* 
much in Length will make a Foot ^ Avfwtr^ Fooc 0.933 
Parts* or xeUi for 't is thus ; 

As 3.67, as to 3.545 j fo is I, to 0.9661 and fo is 0.9^6 
to Foot 0.g33 Parts, or -rltfi Foot. 

(PROS. Vni. Ths DiffViiUr and Length of a Cylinder htin^ 
giv/iit ti find the Solid Content. 
: 



tXT H E N the Diameter is given in Inches, 
'" Length in Feet, the Proportion is thus ; 
As 13.531 is to the Diameter, fo is the Length to 
fourth Number \ and fo is that fourth Number eq tt)e Sotid 
",'oiittnt in Feet. 
2. If the Diameter ani) Length are both given in Foot- 
'onfure, then the Fropottion ts thus - 

Courfc 





'The Mariner's Comfafi ReEtified, 199 

- As 1,128 is totheDiameier, fo Is the Length to a fourth 
[Number; and fo is that founh Kiiraber to the Coiiteji^ 
[required. 



M 



ExampU 14. A round Piece of Timber 10 Inches thro' 
and 3,0 Feet lon^ \ how many Feel of Timber are in it ? 
jtnfwer^ Feet 16.38 Parts. For it is, as 13.531 is to 10, 

Ifo is 30, to 22.16; and ib is 22,16, to Feet 16.38 Parts 
aFof>t, or |& Feet, 



ButiJjppofelhefanic Piece Ja meafured by Fool Mcafure; 
; then it is F^eetto 0.83 Parts through, and the Work is thus : 

As 1.128 is to 83, or 0.83, To ii 30 to 22.16 ; and fo is 
[a2.i6 to Feet 16.^30 Parts, or 16 1%% Feet as before. 



1 



ROB- IX, Tht Cfrcumferenct and Length of a CylinJi 
hting givtif to pad the Solid Content. 



I 



» 



1. iF theCircumferencebegivcninlnches, and the Length 

' in Feet, the Proportion is thus ; As 42.54 is to the 
Circumference, fo is the Length to a fourth N umber j uui 
fo is that fourth Number to the Solid Content in Feet. 

2. When the Circumference and Length are both givei 
in Foot-Meafure, if the firft Term be made 3. 545 (inllca 
of 42.54) the former Words will ferve. 

Example 15* A round Stone or Tree, being 30 Inchi 
about, and 25 Feet long, how many Feet Solid are in iti 
Jnfwer^ Feet 13.43 ^^^^^' f^^ '* i^ thus: As 42*54 is t( 
30j fo is 25 to 17.63) and fo is 17.63 to Feet 12.43 ^^'^8 
?r laf^B Feet. 

Kow the CompaHi about being taken in Foot-MeafurC cs ' 
FeeC 2.50 Parts, and the Proportion iS;, as 3.545 is to 2.50, 
fo is 25 *o 17-63; and fo ia 17.63 to Feet 12,43 Parts, 1 
or I2tj3 Feet as above. ^^ ^H 

Nstt', When Timber TTpers, that Is, bigger at one En*^^ 
than at the other^ it is ufual co take the fireadch and Depth | 
in the Middle of its Length, and by them to meafure the j 
Pieces u jf b ^tb £nds were of a £igncf?. 

Jj 4 H-A* 



aoo fbe Mariner's Cmpa/s lUi/iJieJ, 

NoU 1. The Proportions fo F'>ot jViafures are the femq 
[when all the Dimenfions are taken in Inches i only the So- 
■Jid Content found is Inches- 

Nsti 3. The Solid Content in Inches divided by 172! 
the Quotient is Feet ; but if divided by 282, or 151, t\ 
Ifirtt u Beer, the latter Wine Gallons ; nnd ho* to d 
'vide by the Line of Numbers was fliewn in Problem IV, 
jfthe firft Ufes of thcGunter, in Page 181. * 

PROS. X. Tbe DhmtUr of a Cajk nt the Head end Bu _ 

cni alft) in Length htlng givejn in IniheSy is fkd ;ts ConUn 
in Gailens, Bttr^ or ffint. 

Th« Rule 19 thus 

t. A S I is to 0.7, fo is the Difference of the Bung am 
■**■ Head Diameter, to a fourth Number, which beinJ 
added to the Head Diameter, the Sum is a mean Diamctcrj 
reducing the Cafk to a Cylinder. T3ie:i fay; 
^t a. As the Gage Point (which for Beer or Ale is 18.95, 
^^ftut for Wire 17.15) is w the mean Diameter, fo is the 
^R^ength* to a fourth Number ^ and fois this fourth Nitmbcrg 
^Kto the Content in Gallons required. 
^V E)iQmpU.\h. SLippofe a Calk whofe Length is 40s 

PrheDi,.«....he ....... {Sl^r^'i 

I What is its Content in Gallons^ Beer, of Wine? 

AnfMitTf 73 Gallons Beer^ and Wine Gallons Sg. 1 Tenth, 
^_ Bung Diameter 28 Inches 

% ~' """ 

I Then as 1, is to 0.7 \ fo is 8, to 5.6 ; which added 

ao, the Head Diameter, makes ij.6 for the mean Utame-*] 
Then fay. 



Their Difference -------- 8 Inches 



I 




The Mariner's Compn-Ji Ri^i^ed^ 

jA^i It '5 } ^ '"^ '^ ^" '^'^ '^'^^ "^1 59 f.' ^ • H '^^ 

I. hy Gunttr witt'Compaffes, thuj j 

1. The Extent frum i (o 0.7 wiM reach ihe fame Wjj 
'/"rom 8 to 5,6; which being added to ao ; the Head Dij 

inecer, make 25,6 from the mean Diameter : Then 

2. The Extent from 18,95 (the Gaug« Point of Bcerl 
to 25.6 will reach from ^Oj 10 54.; and that Exient turnc 
JDVer again reaches to 73, the Content in iipcr Gallons. 

I In- like Manner the Extent from 17, i5-(tiicG:iijgc Poin) 
rpf Wine) to 25.6, being Uid twice from 40, will leach 
'8g.li the Wine Gallon^; 



2. ,By the Siiding Gunttr, tbitB ; 



![. Set iagainfto7^ and againfl 8 on tlie Firft^ i« '5. 
«n ihe Second ; which adtied to ,»o (the Head Dtitmct^f 
makes 25.6 for the mean Diameter : Then 
2. Set j8, 95 (the Gauge Point forBecr)on theFirU^' 
againft 25.6 on the Second ; then againft 54 on the Firft, 
is 73 on the Second, the Cootent in Beer Gallons. 
Alfo, if you fet the Gauge Point for Wine; I7.r5againl 
the mean Diameter 15. 6, then a^ainft the Length of tt 
Ca*k 40 on the Firft, you wjll find 59.71 on the Secandi 

(and againft 59 71 on the Kirft, will be had. on the Second 
^9.12 the Content in Wine Gallons. 
[P R O B. X[ Thi Ltnglh of a Ship's KhI and Breadth at 
r " the Beam being givff ta Jindhtr Tenage. 

J T is the Praflice of Shipwrights about Lonihtt^ to 
^ multiply the Length of the Keel, and Breadth and Half 
Breadth at the Beairit into one another* and to divide thf 
laftProdudby 94., whofc Quotient ihey count foe the Ship's 
^Tonage; from whence I frame the following Ptoportions 
wrought by the Line of Number* 



faoiTi rbe Ma 
1 It-* ~%v 



Marmr'"i Compafi Rs£iified, 



gu As ill& VV^c 6r»dth» fo is the Breadth lo a fourth 

.J*.. As r is (o tharfcqjth Number, fo i& ^fic Length to the 
Torfage required. ■ \ 

EttampU 17, Suppofc a*hip 72 Feet h-p(ht Keel, and 24 

Feet by the Beam : I de«snd her Tojiagc f ^nfivcr^ Tons 

aao.6 Tertths nearciV ,^c \he following VVorlc i 

^^As 188 is to 14, w is 24. to 3-o6, and ihcn, 

^^k 1 is to 3.Q6ip fo is 72 to Tons 220.6 Tenths. 

^H I. By GuHter -w'nh Compzffesy thus; 

^^. The Extent from the given Number 188, to the 
Breadth of the Beam 24, will reach from [the faid Breadth) 
24 to 3.06. Then, 
The Extent from J to 3 06, witl reach frqm the Length 

; of the Keel 72, to the looa j20-3 Tenths, the Tonagc 
required. ' 1 

Or more briclljf thus : The EWtent from 13.71 (which is 
the Stjuare Root of the given Number 188J to the Breadth 
cf the Beam 14.^61 ng turned over twice from the Length 
«f th? fCcd 72, r^lriteth t««£ocis 220.3 as before. 

• a. By the Siiditig Gunter^ tK^s; 

. Set the given Number 188, againft thfi\£tcadtb of the 
p 24, then againft the faid Breadth 24on tthe firft is 3.06 
: on the fecond ; Then, ^ 

a. Set 1 againft 3.06, and againft the Length of the 
Keel 72 on the firfl-, is Tons 220-3 Tenths on the fecond, 
as before. 

, f R O B. XII. Tf find tiit Tonage nf a Ssx^ Bait ar Cafit 

I^L havifJg it^i Lengthi Breadih and Depth givtn, 

K: The R U L E is this, 

flr A S 66 is to the Breadth, fo is the Depth to a foiirrti 
, ^* Number: Then, • . 

J 2. As I is to that fourth Number, fo is the Length to it» 
Tonage fcquifsd. 

^ ExampU 



Example i8. A Cafe or Bale being 6 Feet broad, 4. Feet^ 
^cep, aniJ 10 Feet long» 1 demand its Tonage ? dnjvaer^ 
' Ions 3.60 Parts. For it is thus ; 

I. By Gunttr*! Stale with CompalTes. 

J. The Extent from the given Number 66 to the Breadth 
j6, rcachecb frotn the Dcpt^ 4 to 0.363: Then, 

2. The Extent from 1 to the la^ I'ound Number 0.363^ 
being laid from tl^e Length iq, reacheth to 3-63; EharJs 
3 To/i5» Md 63 Parts ot ico, or tpb Tons. w 

By the SUding GiSit/r^ thus ; 

I. Set the gii^n Number 66, u^.imft the Breadth of the 
Riile nr Cafe ■^ ; then artatnft the Depth-BPit 4 on ihc firft, 
you ■■I'ill find 0.363 on the fecondj B.':fonsrh proportional 
Number; Then, 

' 3. Sef I a^^ainJi; th« faid Proportional' Numbft o. 363, 
[■and againft ihf Length of the Bale or C^f^o o'f ^be tirft, 
will b-! founJ Ai the fecond, 3,63, or 3i^/lhe Ton.ig(jo£ 
the Bale or L^le propofed, j 

Nfle; Thar 66 Feet Is the Contctftrtf « Cafe that will 
inclofc two Evgiijh Butts, but tjie CWitlings of them are 
tetter than ^ third Part j therefore allowing 26 Feet for t, 
Cantlihgs, the remaining 4a Feet are counted I Ton, A 
the Ritle 15, ^. 

1. By"Ihe(?f;nf?rwithCompaires, for iheaforefaidfjrs. 
i. The Extent from the given Number 40, to the Bread tfi' 

of the Cafe or Bale 6, will reach from the Depth 4 to" 0.6, a 
fourth Proportional Number ; Then, - -'^ J-',. *'*' " 

2. The Extent from 1, to the fatd fourth Number 0-6, 
will reach the fame Way, from the Lei^th 10, to 6 Tons, 
the Content of the Cafe or Bale required. _ ^ » 

2. By the Sliding Gunttr, thu?i 

I. Set the gi%-en Number 40, againft the Breadth of t 
Bale or Cafe 6, then againft the Depth of it 4» on the firft, 
0.6 on ihe Second^ a fourth Pioporrional Number: Then, 
' 2. Set 1 ag^inf^ the faid Proportional Number 0.6, and 
agaioft the Length of the Bale or Cafe 10 on Oxe l^'ve^ 



are 



d 



'%'S^ 



^ 

K 



"Thi Mariners Compafs ReH^ed. 



ou will find on the Second 6, the Tonage of the Bale or 

"^afe propofed, 

BOB. XIIL Tht DUmuer ef a Giobt btiag givftt^ to Jtna 

the Solid Content. 




»The R U L E. 
, S I, IS to the Diameter; fo is o 5236, to a fourth Num- 
^ ber ; and fo is fhac fosirih Number to a fifth ; and fo 
thi* filth, to its folid Content required. 
Example ig. A Globe whole Diameter is 8 Inches^ what 
is the folid Content? jfn/wn. Inches 268, For it is wrought 
"lus : • ' 

Asi I is to 9^ fo is 0.5236, to 4.19 ; and fo is 4.19, txM 
_ j ; and (o h 33.5, to 268 laches the folid Content oa 
Tc Globe. 1 

\V.*fhi Vfi of thi Line ^fNtitpltri In Gunnery, J 

ffROB. I. 7he DiemeterandlP^elgbtefanyPiiceefOrd-S 

nance being knsivn^ to fiud the H^etght of any other heisQ ofl 

thtfame Metal and Shape, and its Diameter insH/w 1 

Lite Solids arc in Proportion, as the Cubes of their homo-l 
- logs Sides. Therefore the R,ule is thus : i 

■A S th£ Dt^rneier of the known Gun, is to the Diameten 
WF^ of the Gun whofe Weight is required; fo is the WighM 
Bf the known Gun, toa fourth Number, and fo isihacfburthq 
1^ a fifth ; and ib is that ftfth to the Weight required. 1 
[ Example u Suppofe a Brafs Salcer^ whofe Diameier is (rt-J 
phes IJ-S Tenths, and Weight igoo Pounds ; what will J 
Briars Gun weigh, whole piamete.r is Ificbes S.jtj Parts n 
minfwer 8^7.5 Poun4s^ For ii is chu? : J 

K I, By Gwtt/sr'j Scfl/a with Compafl«s, J 

■ TheExtent from the Diametcrii.5 totheI3iameter8.75J 
Retng laid three Times from the Weight 1900, will reacli tn 
Kjy.^ Pounds, the Weight of the Gun required. And, •! 
W^ %. By tSp SUdin^^ Gunter. J 

■ Set the Diameter 11.5, «gainft the Diameter 8.75.1 
Wt'" a^aft the Weight 1^00 on che Firil, i« 1445 ^ os^ 
K' the 



htr 1 

I 



tht Second ; and agaiiift 144.5 on the Firft, \t ii6e«n the 
Second A I fo againft i ioo on theFirft, is ^37.5 Pounds, 
the Weight required, on the Second. 

P,R O B. W.Hav'ing the Diaintter and fTeight 9/ oat Pri 
of Ordnance, and tht Diamtttr ef anether Piett cfantthir 
Metal given \ 1 3 find tht M''eight of the iafi^ ithimgtft 
fame Shcpt with thefsrmifr. 

The R U L E is 'thus; 

T.tJ'IND the Weight pf the Piece as if it had been 
■* the fame Matal as the propounded Piece hjr the UKt 

Problem, in Page 204 : Thcn> 

2. Confider the Proportional Weights of Metals, whieh"**^ 

arelcnown by the following T^bEe of fpecific Gravity^, ef " 

mated fr^otfi the jateft and moft approved Experiments. 
fCallBrafi '~ ^ 

t-Fljnt Stone 
x-i ,«. . iCaftErafs 
t^aflrhShls to) Marble 



• as^ii 






^as' 



Flint Stone 




1 

dlri^^ 



. .The Specific Gravity of Englljh Pebble is 2:6«56, which 
jis heavier than Flint Stone, and very near the Weight ''' 
Marble; Pebble Stdnc is 3.601 j Pertland Stone 2.57, ' 
Common £tone 2-5. 

3^ fiaving the Weights of both Piecfes in otie-Sort 

^Metal> you muft then Proportion their Weight accordlri^ 

.to their different Metals, by the Proportional Numbers o f , 

, thofe Metals,, and then it is done. ^^tf 

Example j. If a Brafs Salter of Inches 11,5 Tenths DFli^^ 

'metet, weight 1900 Pounds ; what will an Ir6n Gun (bf 

r^the fame Shape) weigh, whofe Uiametir ts Inches 8.^1 

V Parts ? Anfiuer^ 728 Pounds. The Operation is thus : 

[^ I. I find by Prob. I. in Page 204, (nac a BraTs PTece 'L 

Ij^nches 8.75 Parts Diameter, will ftfcigh 8^7.5 Pfiundi] 

but1>ccau(e this Piece is Iron, and the Proportron of Braftt 

~rfi^ fas sbovcfaid) is as 8.2io8 is to 7.135 i therefore faj 



Tht Msrinsr*s Compa/s RtEiijitd . ^^ 

1. As 8,108 is 10 7,135, fo is 837.5 to 718 Pounds, tht 
height of the Iron Gun rsquired. J 

ROB. 111. 5> Jtmujing the AHatu/ince of Pavuisr for 
Qtig GuR, t9 find boTjj much cf the fame Powder is Tequifitr* 
for another Can. I 

The RULE, I 

S ihe Diameter of (he Bore of the Gun, whoTe AUcvir- 

aficc 15 known, ii to the Diamrt«r of the Gun whofe 

Lllowance is required ; fo is the AlJnwance siven, w a 

mrih Number, and fti is that fourth, to a nfth, and fo 

r^^b, the fifth, to the Allowance requirej. ^ ' ' | 

But note; here it it unilcrftnod that bo:h Guns arcalikM 

fortified, that is, that xhey fliall hivc the fame FroportioiJ 
I in Weight and Thicknefs of Metal. 1 

L Example 1. If a Sakar of friches 3.5 Tenths Bore reqittr9| 

^^4 Pounds of powder, what will a Demi-Cannon of Inches 
^Mfc.5 Tenths Bore require? Anjwef\ Poundi 25,62 Parts, 

Tor it ia thus; -, I 

I As 3.5 is to 6.5, To is 4.10 7.44, ; and To is 7.44.10 15.80 j" 

I and fois 13.80 to Pounds 25 62 Parts, the Wcightof Pow- 
^^^er for the Demi- Cannon, in Proportion to the giv<;n SjiictrJ 
^^fflut fitppofe the Weight of the Sakcr to be i6oO» and tha 
^VWeight of the Demi-Cannon 6000 ; what Allowance ofl 
^■Powder muft it then have ? 1 

^B, I. By Problem I. Find the Weight of the Demi-Cantioa 
^Blfi; proportion to the Saker's Weight, which i« thu$ : ■ 

^K I. As 3-5 is to 6.5, fo \% 1600 Co 1297; and fq ia 
^■^97' *o 55'7> ^""^ fo is 55171:0 ic?f6 Pounds, the Wdgibl 
^npf the Demi-Cannon^ requin'ji^ Pounds 25.62 Parts oil 
^HPowder for its Loading. But feeing its Weight is fuppofea 
^Bb> h« &00O, fay, J 

^H* z., As 10246 is to 6ooo> fo is 25.62 to PounJs 15, tfafl 
^H^e Allowance of Powder for the Demi-Cannon of Inches' 
^Bt 5 Tenths Bore, weighing 6000 Pounds, at the Rate of a 
^K&aker Inches 3.5 Tenths Bore wi^ighing 160O Pounds, anib 
^B-euuirlnic Four founds of Powder. 1 

■ P R O B. 



I PB 



The Mariner's Compafs Relitjied. 



ao7 



PROB. IV. Having ihi Diamtttr and iVtlgbt of sae Bullet^ 
and the Piamtitr of amthit Bullrt givtn^ t9 find tht ff^eigkt 
of the iattir. 



The R U L E. 



'-pHE Weight of Bullets f of the Came Metal) are in Tri^ 
■*■ plicatcProportionof their Diameters, and wroug 
the DireiEt^ions in Problem X. of the firft Ufes of the Gunttr. 
in Pages i 



I 



Proper 

inP 

aod 189. 



Examplt 4. If an Iron Bullet 4 Inches Diameter wei 
€j Pounds ; what will an Iron Bullet of 6 Inches Diain 
weigh ? Anjiuery Pounds 30.375 Pacts. For it is thus > 



ler, 1 



t 



As 4 is to 6, fo is 9, to 13.5, and fo ix 13.5 to 10. ii 
and fo i3 20.25 *o Pounds 30.375 Parts, 

P R O B. V. Two Bul/elt, eqm! h DiamHir^ hut tf differ J^k 
Mitah ; by the Diameter and IP'n'ght ef the ene^ to find tht 
IVtigbt of tht tthtr. ^J 



The R U L E. 



I. A S the Proportion of one Metal ts to the other^ fo la 

■'* the Weight of the given BuJUc to the Weight of 



the Bullet required. 



:iiCT 



Examplt 5. Suppofc an Iron Bullet of 6 In&hes Dtametci, 
and weigh Pound 30.375 Parts; what will a Flint Stone 
Bullet of the fame Diameter weigh ? Anfvjtr-, Founds 
11.158 Parts, The Operation is thus; 



By Problem II. of Gunnery (in Page 205) the Pro[ 
I ion of Iron to Flint Scone is as 7.135 is to 2.621 : tbcr^ 
Toj:e it i5> 



er^ 



As 7.135 is to 2.621, fo is 30.375 to Pounds ii.l 
Parts, the Weichcof the Stone Bullet. 



b 6. Vl. ffjivitfg the Diameter and l4^tigbt efa BuUei 
' me'kin^ of Metat^ and the Diameter of any BuUtt of 
)fy other given ^ ig find the iV tight of the latter. 

The R tJ L E. 

^ti^'tTie XVelght of it (by Probiem IV,) as If it w^s 
the fame Metal. 
2. Then find its Weight according to the ProportioJi of 
the Metals by tlie l^te Proiiem, and it is done. 

|N 'Fardffrt/if 6. Tfan Iron Bullet 4 Inches Diameter, wtigh 
lO roiinus ; what is the WeigUtof a Leaden Bullet 6 Inches 
I)ramett-r ? -^'j/itJirr, Pounds 4.7.93 Parts ; according to the 
foUowiAg Operation ; 

I. As 4 is to 6, ib is 9 to 1 J.5 I and fo is 1 3. 5 to 10.25; 
andfo is 20.25 ^o Pounds 30.375 Farts, ifit had been Iron, 
.iu4t'as jt-is Leadv &y, 

„ ,2. As ,7.135 is to 11.26, fo is.30-.375to Pounds 47.93 
Parts, 'the Weight being Lead. 

Tbe XJfi of Gunlcr's Scale iw Navigation ; imd firjl m 
Plane Sailing. 

CAS C. 1. 

Tht Ceurft and Diftance faihd heh^ givm j tsfnd the Dlfer- 
tnte ef LaYitude and Dfparturffr&at iht MMdian. 

To-do ihis, the Proportions are thefe : 

S Radius is to the Diftance, fo js the Sine ofihe Courfe 
'"tbthe Dfepattiire from the Meridian. 
P'As'Radius is to the DilVance, fo is the Sine Comple- 
eni of the Cowrfc to t^c Difference of Latitude. 

^}^9ii. The Raditis according to tbe Nature and the Pro- 

uq^ may be anv of tbefe. . 

■'••'■' 8. Points 




The Mariner's Compafs Rectifted, 203 



Sine Rhumbs, 
gent Rhumbs. 



^ rSine b 

an,heUncof]j-f 



^B S Points 

^B QO Degrees 

^B 45 Degrees J I'I'angvnts. 

And for Coiiveniency» that each Proportion fflay fland in 

one Line. 

Let S, '\ rSine 

IS- c. / V Sine Complement 

T. / XTangent 

?:■*=' Uand f^jT^ngmCcnipWnt 
Crs. / ACourtc 

Difl. t /Diftance failed 

DifF.LatA / Difference of Latitude 

Dtp. J [^Depart, from the MwidiJ 

EzampU^ If a Ship Saih SW. by S. 1O4 Minutes from 

Latitude id, 45ni. Norih, I demand what Latitude ftie is 
in, and her Departure from ihe Meridian ? 

Ab S.8P.i.toi04M.f«sS. {^?} Points ta J o'ffXat.SW^' 



k 



1. By Gtitittr with Compaffisj thus; 



* 



The Extent from 8 Points on the Line of Sine Rhumbs, 
1, 104 Min. (oti the Line of Numbers) will reach the fame .j 
~ay from 3 Points (on the Line of Sine Rhumbs) to 5810. 
on the Line of Numbers) which is the Departure froiQ 
the Meridian; and the Compaffes kept at the fame Dif- 
tance, will reach fthe fame Way) from j Points (on the 
Line of Sine Rhumbs) to 86 Minutes (on the Line of 
umbers) which is the DifTercace of Latitude. 

Natti The Courfe ia 3 Points, hecaufe SW. by St 
is 3 Points from the Meridian or South j and 5 Points is the 
Complement of the Courfe, becaufe S.W by S. is 5 Points 
from the Parallel or Weft ; undcrftand the like in any 
jwher Courfe. 




^ BytheSii£nsGunttr, thus; 

104 tniti. on the Midlife Ptece, againfl %■ Poih», 
Line of Sine Rumbs, on the lower outfide Piece-j. 
gainftji- Points on the firft, is 58 Minuteson the 
1, the Departure From the Meridian^ tihA againft 5 
Poji^ on the firft, is 86 Minutes on* the fecond, the IM- 
iftliim of the Latitude. 

Lamudc failed from -J - - - - - 01 : +$ North 
Piiference of Latitude 86 Minetes, op 01 : 2& South^ 

uhtradl gives the Latitude' required - , oa : 19^ Nortlt 

CASE IL 

7heCeurfe and Differesci of Latitude heiKggiveni, tafindt^t- 
jyyfanct.faiUdl and tht Departure from the Meridian. 

To do thisi the Proportions are thefe : 

1. As the Siite Cotnp. of the Courfe is to the Differenoef 
of Latitude, fn is Radius to the Dtflance run, 

2. Asthe Sine Complement erf the Courfe U toth« Dif* 
ference of Latitude, fo is the Sine of the Couife to tho 
Departure from the Meridjan. 

BxampU. Suppofe a Ship fails N.N.E. from the Latitude 
of iA. 25m. South, ahd then hy Obfervatioh Is in Latitude 
idi lam. North \ what iyher Diftance failed and Depar- 
ture from the Meridian ? . D. M. 
Latitude failed from - - - '- - - - 02 : 15 Soitk 
Latitude by Obfervation - - . . - . - 09 : 22North 

Added, gives the DlfFerence of Latitude 93: 37 which 
reduced into Minutes by multiplying by 60, is 217 Min.. 
Then j 

Ass.6Pts.isto2r7M.fo is s.{f I pts. to 1^35 ;!;« ^^■ 

CASE 



rfo MarhtrU Cmpt^s Xkiyki* px^ 



CASE III. 

''The Ceurfe end Departurt from the Mtrtiian htmg givtn, t§ 
jind tbt Diftanu run, and tbt Difftrenu tf LetUudt, 

This is performed by thefe Proportions. 

i. Ag the Sine of the Courfe is to the Departure from the 
Meridian, fo is Radius to the Diftanceiailed. ^ 

2. As thftSineof the Courfe is to the Departure from 
the Meridian, To is the Sine Complement of the Courfe to 
the Difference of Latitude. 

Example. If a Ship falls SE by £. from id. lom. North 
Latitude, till her Departure be 92- Minutes, what is Her 
Diftance failed, and Latitude fhe is in f 

As S. 5 Pts. is to 92 M. fo is S. I ^ i Pts. to J "f Di?i. 

D. M. ■ 

Latitude failed from - - - - - - 01 : lO North 

Difference of Latitude 6j Minutes, or - 01 : bi South 

Subftrafted, gives the Latitude the Ship is in 00 : 9 North 
C A S E IV. 

Thi Dijlatice rufif and Diff'erenct of Latitude htmg given^ U 
find the Courfe and Departurt from the MeriiUun^ 

The Proportions are thefe : 

I. A S Ac Diftance failed is to the Radiuft,'fo is the Dif- 
^* ference of Latitude to the Sine Complement of th« 
Courfe. 

2. As the Radius is to the Diflance failed, fo is the Sine 
of the Courfe to the Departure from the Meridian. 

Example. Admit a Ship fails between the S. and W. g8 
Leagues from the Lizard, in 49d. 57m. North Latitude, 
and then by Obferration is in 466. 27m. North Latitude, 
what is her Courfe and Departure from the Meridian ? 

Q 2 ^. "^fv. 



i 

i 



f'U Mariner's Compafs ReBified, 



Latitude failed from — 
atiiudtby Obfervation- 



D. 

-49 
-46 



M. 

: 57 North" 
: ^7 North 



^ 







he Diffen-nce of Latitude - - - - 03 : yiaryol.,^ 

1. As 98 Leagues, is to Sine of 90 Degrees, fo is 70 
Xeagues (o Sine 45d. 30m. whofe Complement 44d. 30m. 
is the Courfe from the South Weltward, that is, South 
Wcftncarcft: Then, 

a, As Sine go Degrees is to g,S Leajjucs, fo is Sine 44^. 
30m. to 68.4 Leagues, the Depariufe from the Meridian- 

I. By Guntir with Compafl'cs. 
t. The Extent from 9S Lciig. or: the Line of Numbers,^ 
to 90 Degrees on the Line of Siiies, will reach the (Ume 
Way from 70 Leag. on (he Line of Numbers, to 45 Deg. 
30 Mil), on the Line of Siiics ; which being fubftrafted 
from 90 Dcg. leaves 44d. 30m. for the Cuurfc, 

2. The Extent from go Dt-grees on .the Line of Sines/I 
to 98 Leagucfe, r>a Che Liric of Numbers, will reach frooi 
44d. 3om.on the Line of Sines, to 6S. 4 Leagues, on the Lint 
(vf Numbers, wiich is the Departure fiom ihc Meridian. 

2. By the Sliding Gunttr. 

J. Bring 98 Leagues on the Line of Numbers on th< 

iddle Piece, againft 90 Degrees on Line of Sines, on 

theout-fiJe Piece; then right againit 70 Leagues on the 

Firft, is 45 Deg. 30 Min. on the Second, which is the 

Complement of the Courfe, and fubltrat^ed from 90 Dcg* 

;ives 44d. 30m. which is near four Points from the South 

wards the Wert, or South Weft. 

i. And as it now ftands, againft 44,d. 30m in the Line 
Vf Sines on the outlide Piece, is 6'8.4 Leagues in the Line- 
of Numbers, on the middle Piece, which is the Departure 
U^in the Meridian. 

. C A S E V. 
/■/ Di/Ujuc t u«, and the Departure front the Mtridian ht'sng 
givtny ujlnitht CoHfJ, and Dlfftrtmt ef LaUtudf. 

tlie 



t 



Tbe Mariner's Compafs ReSiified, 
The Proportions are as follow : 



3 



I. A S theDi{tance failed Is to Radius j fois the Departure 
** from the Meridian, to the Sine of the Courfe. 
As Radius, Is to the Diftance failcti, fois the Sine 



2. 

Complement of the Courfe, to the Difference of Latitu(]«. 
Example, A Ship fails 354 Minutes between the North 
nnd Eaft from id. igm. South Latitude, until her Depar- 
ture from the Meridian be 150m. wbat is her Courfe, and 
what Latitude is Ihe in i 

1. As 354. Minutes is to Slue god. fo is 150 Minute* to 
Sine ^5.1. fo that the Courfe is N. Eaftward, or NN 
z quarter EaU- 

2. As S, 9cd. Degrees is to 354 Minutes, fo is Sine 
Degrees, 10323 Minutes, the Difference of Latitude. 

D. M. 
Latitude failed from es - - - - » 01 : 19 South 
The Difference of Lat. 323 Minutes, or 05 : 23 North 

SLibftra;£led, gives the Latitude the Ship is in 04 : 04 North 
&> that the Ship hath croITed the Equator, 



i to i 



CASE VL 



iW«- 



Ths Dlfftrmtt ef Latitudt and Dipariure /rem th Mtr 

being giveiif i9 find the Courft and Dijiantt run. 

To do this, thefe are the Proportions : 

I. A S the DifFerence of Latitude is to the Departure 
*^ from the Meridian, fo is Radius, to the Tangent 
of (he Courfe 

2. As the Sine of the Courfe is to the Departure from 
the Meridian, (q i$ Radius to the Diftance failed. 

Mxampii. Sailing between the North and Weft, from a 
Port in id. 59m. South Latitude, and then arriving at 
another Port which is in 3d, 8m. North Latitude, and 209 
Minutes to the Weftwad of the tirft Port, t demand the 
C-ourfe and Dillance from the iirlt Port lo the fecond. 



O3 



\i-l 



SI4 'Tht MarinsT's Com^afs ReBi^ed, 



Raj 



fititude of the firft Port - - 
* titudc of the feconil Port - 




D. M. 
I : 55 South 
- 3 : oSYNorth 

'AWed, gives the Difference of Latitude 5 : 07 or 307111," 

I. As 307 Min. is to log Min. fo is Tangent 4.5 Dcg. 

to Tangent 3fl.Dtg. 15 Min. the Coiirfc North Weuward, 

cj- NW. by N". neareft. 
^^ 2. As S. 34. Degrees 15 Minutes, U to aog Minutes, fb 
^^B S. (|0 Degrees to 307 Minutes, the Difiance between the 
^■h^O Ports. 

^^P I. "Qy Ganter With CompalTes, thus : 

^H ?. The Extent from 307 Min. to 20() Min. on the Lino 
*f Numbers will reach from 45 Dcg, on the Line of Tan- 
gents ('that now being the Radius) to 34 Degrees t5 Min, 

[ on the fame Line of Tangents^ which is, the Couife fiom 
the Meridian. 

NstCy When the DifFerence of Latituda la grcateft^ the 

I Courfc is lefs than 45 Degrees from the Meridian, 

But when the Departure from the Meridian is greatefl:, 
the Courfe is more than 45 Degrees from the Meridian. 

! 2. The fecond Canon or Proportion for the Di(tance 

I run^ >5 wrought ^s in the fecond snd third (Jafe, in Pages 

I 2IO and 211, 

■ an 



2. By the Sliding Gunter^ thus : 
1. In this Cafe place the middle Piece in fuch a Manned 



_ jat a Tangent Line may fifde againft 3 Tangent Line, 
Eind alio Numbers sgxinft Numbers; Then brine -lo? 

I Min. on the Line of Numbers on the middle Piece, agaiiiK 
209 Min. on the Line of Numbers or theoutfide Piece, and 

, ?:gaini^ ^5 Degrees on the Line of Tangents, on the middle 
Pi««, will be 34 Degrees 15 Minutes, on the Ta.ngents oo 

L^he outftde Piece, which is the Courfe rcqititcd. 

^p 2, For the Dilbrtce, the Manner of working is the fain 

^as has bcea /hewn in Cafes FLrft, Second, and Third. 




Sift Mermifs Cmpafs Rt&^ed. -ijg 

To refolv* a Travcrfe by Ganttr't Scale. 

Example i. A Ship in 40 Deuces North Latitude, oM 
■:s Degrees 14. Minutes Weft Loheitude, fails firft S. E^bjr 
S. 68 Minut«s, thenS. W. by W. 35 Minutes, and tlfco 
W.N. W. 75 Minutes : I drntaiwi theCourfe and Dtflance 
-from tbe firlt Place of .Departure, -and what Latitude an4 
Longitude ihe is in ? 

To do this, Firft find the Difference of Latitude and 
■Peparture from the Meridian, for each feveral Courfc, as 
«dire£kd in Cafe I. of Plane Sailing, in Pages 2oSand Z09. 

2. Colle£l the fevefal Difiereiices of Latitude into two 
Sums, vi% the Northing into one, and the Southing into 

-another, and in like Marnier, the feveral Departures either 
■Eatt or Weft, taking the Difference of the Northing and 
Southing, for the Difference of Latitude, and the Differ- 
ence of the Eafting and Wefting for the Departure from 
the Meridian. 

3. Having now the Difference of Latitude and the De- 
.parture froia the Meridian known, the Courfe and Dis- 
tance may be found in the Sixth Cafe of Plane Sailing, ia 
Pages 213 and 2M- ^ 

4. The Difference of Longitude may be found by this 
■Proportion. 

As the Sine Complement of the Middle Latitude is to 
-the Departure from the Meridian, fo is Radius to' the 
^Difference of Longitude. See the Wodc following. 

.. Courfe. .s S. 8 Pts. is.t<.68, faisS. \ j ^ 37^ \-H 
2. Courfe, asS.S Pts, h to ^5, fois S.|i J* 45t| W Jng 
^. Courfc.a»S..8Pts.Uto 75. fo « S.j^ ^^^'^Jf ^^^ 



2 1 6 The Mariner's Compajs Reliified^ 


J 


Dift. 


DIF. Lat. 


Departure. 


^H ConrTei. 


Ncrih 


South 


Ealt 1 Weft 


m- 


5.E. byS. 


6g 




56;; 


57-8 1 


■['■ 


S.W by W. 


S! 

7? 




30,6 




4^7 


H'- 


W.N.W. 


±8.7 






69.S 


U 




287 


87.1 
23.7 


37.8 


378 


■ 




■.. 




D 


iff. Lat. 


584 


1 77-2 



V 



Dep 



3. Then J as Min, 58.4 is to Min. 77.1, fo is T. 45^. 
to T. 52d. 54.m. ihe Courfe from lh« South towards the 
Weft, that is, S. W. three quarters W.almoft j AnJ ag^in. 
As S. 5jd. 54m. is to. min. 77. J. To is S. 90J. to 96. U 
WJnutes, the Diftance from the firH: Place of Departuie. ,, 

D. M. 

aticyde failed from '— -^^ 40 : 00 North ; 

Th^Diff- of Latitude rnip. 58.+ or 00 : 58 Souih^rly 



SubftraiEled, gives the Lat. the Shfpis in 39 : oi North ; 



Therefore the middle Latitude is 
Subftraflei! from •—' 






39: 3' 

■ go 1 00 



ives the Comp. of the middle Lar. 50 ; 29 



4. As S. 50H. 29m. i5 to Min. 77.3, fo is S. god. t( 
loi.iffl. theDifferen^-c of Longitude, 



D. M. 

he Longitude faile*^ from is ■ 05 : 14 Wcff. 

he Difference of Longitude - oi ; 41 Weft. 



^dded, gives the Longjt. the Ship is in 06 : 55 Weft, 

Exaamplt 2. A Ship In 4id, 30m. North Latitude, arif 
lod. aom. Kafl Lojigitiide, fails tbefe fcvcrnl Courfcs and 
>iilaj)ce5j viz. S.' E. hy S. 51 Minutes^ theri S.S.W. 

6ii 



ith Mather's Ccmpafs ReSfiJied 



l" 



63 Minutes, E. by N. +7 Minutes, N. by E. half E. „ 
Minutes, NNW. a quarter W, 47 Min. WNW. 73 Min. 
I ■demand the Courre and Oiftance from the firft Place of 
Departure, alio the Latitude and Longitude the Ship is in f 

I, For the doing of which, obfcrvc the following Work. 

Points. M. 

28. gE. 

43. iS. 
524.1^-. 
I 5«.»S. 
1 46aE. 
\ q.r-^r 
J lo.iE. 

\ 20. iW. 



"Courfc.asS.SPts.isto' 



M, 



52 

63 

47 



6J 



I 

L73J 



—11 1 1 
\ 
\ 



foisS. 



i 



s 

1 
6 

7 

I 

If 
6 

5i\ 

6 

2 



in 



1 27.9N. 



2. Then, to colleft the feveral Northings, Southings, \ 
Eaftings, and Weftings into one, fee the following Table i 
whereby you have the Difference of Laiitude and Depar- 
ture from the Meridian. 









Dift, 


Diff. Lat. 


Departure 




Courfes. 


North 


Houth 


Eaft 1 Well 




J. S. E. byS. 


S2 




43* 


lU.^ 


1 




2. S. i. W. 


63 

47 


9.3 


;S.z 


46.. 


24.1 


^ 


3- 


Eaft by North 






i 


6. 


N. by E. 4 F„ 


is 


33-5 




10, a 




^ 


N. N. W, ^ W, 


+7 


42. s 






20.1 


W. N.W. 


73 


27.9 






67.4 1 






1 1 J . t 

I or. 4 


101,4 


85.2 


85.2 
26.4 } 






^ ,— 


Diner«ncc Lib 


tude 


1 1.7 


De;i 


arture 



4 



-x^-Vs^sai. 



:^j5 JjifMtrimU C^mf^ftRa^i^il* 

Konr, bavinji; thit DlSere^e of Latitude and Depiu^ 
<ture frcHn th^ M^Uiaa known, the ^\te& Courfe and 
Pifiance'U^qs found. 

As 117 Minutes is to 96.4 Minutes, fo is T. 45d. fto 
T. 66d. 06m. the Courfe North Wefterly, or W. N. W, 
hecaufe ihe North and Weft Columns ire the greateff. 

Hcte obferve the Courfe is more than 45 Degrees from 
thcMeridianibecaufethe Departure is more than the EHf-- 
ference of Latitude, according to the N'pte in th.e 6tlt 
'Cafe of Plane SSiling, in Page 214. Then for the Dif- 
rtance, fay, 

As S. 66d. ojSm. is to 2i6.4 Minutes, fo is 90 Degrees 
^ Minutes 28.8^ the OiAaacoi from the firft Place of dc- 
■Parting. 

P, M. 
Latitude piiled from - - - - - - 41 : 30 

TlteDi.flr«renGe qT Latitude m. i-i -7. or op : t? North 

■ 

.'A(Ued> gjves (he I^at, theShip ^ in - 41 : 42 North 

And the middle L^ttttide is - - - - 41 : 36 
-£ab^a£led from r - - -k - - •> 90: 00 

Gives the Comp. of the Middle Latitude 48 : 24 

Then to find the Pi&ren<;e of Longitude, fajr. 

As S. 4Sd. 2401. is^to 26.4 m. foisS. 9od. (035.31 
min. the Di&i'ence of Longitude. 

D. M. 
The Longitude failed from is - - - 10 : 20 E^ft 
The Difference of Longittjde 35,31 min. or 00 : 35 Weit 

:fiubtra£(, it gives the-Long. the Ship isin 09 : 4^^ £aft 



Stcoat^ff 



Sfiondly, Tb^XIfitf Guatcr^Ji Sc4l« >> M^rca^r't SwUnc^ 
C A S E I. 

7ht Latitudt and LongitHtU ^ twt PI^(4S being giveti^ tw 
find the Caurft an4 Dijimtt hftvfun tbm. 

Example. I demand the Courfe and Diftance from the 
Lizard to Barbadots ? Latitudes and Longitudes of thofe 
Places being fuppofed as follows : 

d. m. da R|> - 

U%ard ?r * $49 57 Nor.tb ? r „„^ C 5 14. W. 
Barbadoes { L"* } T2 58 North J ^""S* J 58 ^O W. 

The Diff. of Lat. 36 59 South, Diff.Long. 53 36 W, 
- 60 60 



T-W- 



Minutes aai9 Minutes 3216 

To anfwer the Qucftion, the Proportions are thcfe. 

1. As the Meridional Difference of Latitude, is to the 
Difference of Longitude, fo is Radius to the Tangent pf 
the Courfe. 

2. As the Sine Complement of the Courfc is to the Dif- 
ference of Latitude, fo is Radius to the Diftahce of the 
two Places. 

The Meridional Difference of Latitude is thus found : 
Extend the CompaiTes on the Meridional Line^ from 
one Latitude to the other ; that Extent meafured on the 
Equinoflial Line (the next Line adjoining to the Meridio- 
nal Line marked LP.) gives the Meridional Difference of 
Latitude. 

Thus the Extent from Latitude 4.gd. 57m. to Latitpde 
l2d. 58m. on the firft, being meafured on the latter, is 
deg. 44 -xll or 44d. 45m. or 2685 Minutes, the MeiidJo- 
nal Difference of Latitude : Then fay. 



■bsi 



The Marimr^s Compajs Re^ijted. 



hs 1685 M. is to 31,6 M 7fe;,T.4sd.toT.5ojJ 

the Cot^rfc from the South Weftward, or S. W. 5 Degree* 
9 Minutes Wefterly; And again. 

As S. 35J. 51m. is to 22rgm. fo is S. god. to 3+63111. 
Or» as S 3gd. 51m. is to 36^. rn'si fo is Sine god. tu 
~\1^' TV^ or 57(1. 4301. equal to 3463 Minuter. 



CASE ri. 

Bolh L^lhuie and durft hiing given ; to find the Dijiance 
and Diffirtnte and Longitude, 

The Proportions are thefe : 

1. A S the Sine Complement of the Courfe is to the 
^* DiiFerence of Latitude, tsf^. as before in the Second 
I Cafe of PJancSailing, to find the Diitance and Departurc_ 
, from the Meridian, in Page 210. 



¥ 



tt. As the Sine Complement of the middEe Latitude is to| 
the Departure from the Meridian, ft* is the Radius to thi 
Diffcre-iice of Longitude. 



Or thus ; as the Sine Complement of the Courfe is t<>l 
the Meridional Difference of Latitude, fo is the Sine of ths 
ourle to the Difference of Longitude. 

Example. Atlniit from the Lizard in 4.9 Deg. 57 MIn. 

lorth Latitude, :ind Long.lude 5d. 14m. VVelt, we made, 

Jwhen Leeway, Variation^ i^t. were allowed for) ourj 

lurfe to be South 39 Deg. Wefterly; and then by Obft-r- 

ition was in 44d, 58m. North Latitude j I demand her] 

)rllauce run> and what Longitude fhe is in. 




p 



p 



The Mariner's Ccmpafs Rt^ijed, 

58m, North 
5gm. Southerly 



Latitude failed from— — 
Litiiude by ObfervaUou 



Sutftrafledj lathcDifF. of Lat.- 



60 



^ m 



The Middle Latitude is' 
SubftraiS from 



Minutes 2gg 

' — 'iji. : 17111. 

9QJ- 1 Oom. 



Comp. of the Middle Latitude 



^H I. AsS.5id.ist0299m. foisS. V^ I 
^^ 1. As 42d. 33m. is to 241 Minutes, 




33m, 

10 i 38s Dift. 




2 24.% Depart 
f{j S, 9od. to 358 
Minutes, the Difference of Longitude. Or thus, the Ex- 
ten from 4.9^. 57m. on the Meridian Line, 44.d. 58 m, 
meafured on the Line of equal Parts is yd. t£ or yd, 24111. 
or 44.4 Minutes, for the Meridional Difference of Lati- 
tude ; Then, 

As 5id. is to 444 Minutes, (o is S. 39d. to 358m. 
thus 1 

As 29^ Minutes is to 242 Minutes, fo is 444 Minute 
to 358 Minutes, as befoiCi which is the Difierence of Lon- 
gitude. 

The Longitude failed from — — — -. pj ; 14 Wst 

The Diffeience of Longitude 358min. or — 05 : 58 Weft 



ati- { 

M 



II ; liWzd 



m 



Added, gives the Longitude the Ship is in 

CASE IIL 
^oth Latitudtt and Dijianct runbein^ ghetty Ufindiht CmrJ^ 

end Difftrente ef Longitude. . 

To perforin this, the Proportions are thefe : l^fl 

I. A S the Diftance failed is to Radius, fo is the Dlffer-^^ 

** cnce of Latitude to the Sine Complement of the 
'Courfc, as in the fourth Cafe of PUnc Sailing, in Page 1 
I SI I, by which Cafe alfo you may find the Departure frona 
I'thc Meridian, or Meridian Diftance. " 



r 



aaa ^e Marker's Cmp'ajs RefffJteX 

2. As the Sine_Comj)Icment of the mUdle Latitude is 
to the Deparcurc^ To is the Radius to the Diiferciice of 
JLojigilude : Or thus ; 

As the Difference of Latitude is to the Dcpatttire from 
the MendiJii, fo is the Meridional Difference of Latitude 
lo the Difference of Longitude. 

Example^ A Ship in ^bd. South Latitude, and id. X5m. 
Weft Longliudcj fails loo Leagues North Eallward, amj 
then by Obfcrvatlon is in Latitude ^zA. South ; I demajid 
her Courle, Departure from ihc Meridian, and the Lon- 
gitude (hQ is in ? 

Latitude failed From is - - - 46d, South 
Latitude by ObTervatlon is - - 4.2d* South 



Subftrafled, gives the DifF. of Lat. ^d. oi So Lejgittrs 

T,he mid^l? LatUcide is - - - ^\il,vfho(eCom.p.\s ^.t 

t. As 100 Leagues is to S. gcd. To is So Leagues „ 
S. 53 Deg. 15 Min. the Complement of the Courfe; fo 

that the Ccurfe ts 36 Deg. 45 Miti. North Eaftward, or 
N,E. hy N. a Q^iarier E. And then again. 

As S. god. is to 100 Leagues, fo is b. 36d. 45m. to (io 
Leagues, the Departure from the Meridian. 

As S. 46 Dc^, is'to 6d Leagues^ fo is S. go Deg. w 
83 Leag. the Difference of Longitude; Or thus: The 
Extent from 46d. to 42d. on [he Meridional Line mates 
jd-T^i or I ID Leagues on the tqual Parts.^ which is the 
jtlcridiun^l DtfF. of Latitude j and then it is. 



i 



s Soleag.is to6ole2g. fols I ioleag.Co5tleag. 7j:o- |._ * 
r, as 4d. is to 3d, fo Is 5^. w to 4d. .ei > ' - ^' 
(Ongitude failed from is - - - - id- : 15m. Wc 
"he Difference of Longitude 83 leag. or 4d. : 09m. Eait 

Subftraflcd gives the Long;, the Ship is in 2d. : 54)11 Eall 



f0t mHHtr'J tUniipafs ^mftS- s^^ 

CASE IV. 

J#fi Latitudu skd DepArturt froin the MMii^ htinggiv*nt 
ta findibt^Goufje^ Difttuu rwty andDiJ^tr. LoHg, 

I. 'T^ H E Courfe arid Diftance riin is found by the fixth 

* Csfc of Plane Sailing in Page 213. 

3. Thfc Diffeiencff of Longitude is found as ftt the- 
fecond» third, or fourth Cafe in Mtrcater. 

Example. A Ship in 33 Degrees North Latitude, aod 
178 Degrees Welt Longitude,, fails South Weftward until- 
fhe has departed from the Meridian 58 Le:igues, and thcr^.- 
ihe is in Latitude aSd. 36m. North. I demandber Courfe*. 
Diihince run, and what Longitude fhe is in i' 

d;. hx 
Latitude failed. from -;*— 33 : 00 North 
Latitude the Ship is in — 2^ : 36 Noith 

1' ■ r 

The DIfFn'ence of Latitude 04. : 24 or 8S Leagues , 

TheMiddle Latitude is^ — 30 : 4.8Comp. 59d. 1201. 

1. As b8 Leagues is to 58 Leagues, fo is T. 45 Deg.. 
to- T, 33d. 20m. which is the Courft Seuth Wefterljr, or 
or S W. by S. 

2. As S 33d. 20m. is to 58 Leagues, fo is S. 9Dd. to 
105 Leagues, the Diilance failed... 

.3.- The Meridional DifFerfence of Latitude 5 Deg. tW or 
5-Deg..o Min. or 103 Leagues is"found as befcre dire<Setl. 

4-Asi "• Itllr,: I ■» '<-58Le.g. fo. I S-.90 Deg. J ^, 
67 Leagues the Difference of Longitude; 

5. Longitude failed from - - - 178 : 00 Wqft; 

llftDifterenccof Longitude 6;^ Leag. or 03 : 21 Welt 

Addtd, theSitm is —— -. — , „ ..,. |8i ; 21 

Which fubftra£l from ■ . 360 : 00 



Remainder !s the Longitude the SUva \s wx. i-i,'^ -• ""ft 



*^ K.%"^ 



,9M 



the Marintr's Compajs ReSli^ed* 
CASE V. 



V Liiittide^ Caurfi ami Di/tame rtai hting gtveVt tojSnd 
thf siher Laiiiutie, and Di§tfi*Ki cf Lff^iiude. 

I.'TpHE DifFerence of Latitude arid Departure from 

-^ the Meridim is found by the fifft Cafe of Plane 

Sailing (in Pages 208 and 209) and confequently the oth^r 

Latitude. 




I 



2. The Difference of Longitude is found as before in the 
cond or third Cafe of Mtrcattr. 



Exsmpit. If i Ship fails SE. by S. J2« League* from a' 
Part in 53d. 30171. North Latitude, and 2d. iftn, WeA 
Longitude, what Latitude and Longitude is fhe in ? 

As S. & Points is to 120 Leagues, fo is S. 5 Points to 
100 Leagues, the Difference of Latitude. 

And as S. S Points is to 120 Leagues, fo is S. 3 PotntsJ 
to 67 Leagues the Departure from the Meridian. 

D. M. 

Latitude failed from ^ — 53 : 30 Noril 

The Ditf". of Latitude 100 Leagues, or .05 ; 00 SoutliJ 

Subftra£led, gives the Lat. the Ship is \n-^- 48 : 30 North 



ind the Middle Latitude )£- 



51 Cotnp. 39d. 



■^' 2 100 Leagues 

^H 107 Leagues iheDiflerence of Longitude. 

■ D. M. 

^^Longjtude failed from is . - — . ■ 02 I 15 Weft 



'he Meridional Diff. Lat. is 8d. or 160 Leagues. 

15 \ ^' ^f' \ is to 67 Lcae. fo is h ^^' \ »•' 

I 100 Lt^aguesi ' ^ ( 160 Leagues J 



The Diff. of Longitude 107 Leagues, or— 05 ; 21 Eaft 

Subfirafled, gives the Longitude flie is in — 03 t 06 Eaft 
So that the Ship hath trolled the Urit Meridian. 



CAS 



f 



Thg Mariner's Compafs Re^i^ed, alj 

C A S E VI. 

SaiUng ins ParsUtit to find the Di^erenc* sf Ltttghudf, 

To do diis, the Proportion is thus ; 

A S the Sine Complement of the (Parallel or) Latitude 
■*^ is to die Diftance failed Eaft or Weft, fo is Radius to 
the Difference qf Longitude 

Example, If a Ship fails Weft -^go Minutesj in the \a- 
titude of 5od. lom. and departs from id. 4501. Eaft Lon- 
gitude, I demand what Longitude the Ship is now in ? 

As S. 3Qd. 50m. is to 3,9oni. fa is 9od. to &iom. the 
Difference of Longitude. 

d, m. 

Longitude failed from, li — — ■ ■ ■ % : 45 Eaft 

The Differenceof Longit. 6iomin,or — 10 : 10 Weft 



¥ 



tibftrai9ted, gives die Long, the Ship is in — f : 25 Weft 
CASE VII. 



The Diff. of Longitude of two Places In me Parallel or Lati- 
tude hn»g givtn^ ttfnd their Dijiantt in that PatalUL 

I HE Proportion is thus } as Radius is to the Difference 
of Longitude, fo is the Sine Complement of the La- 
titude to the Diftance in that ParalJel. 

Example l. Suppofe Cape St. Vincent in Portugal and 
'ape henry in Virginia, both in 37 Deg. North Latitude, 
id their Longitude as hereunder, what is their Diftance 
I that ParalJel? 



K 

ft 



Subftrafled, gives the Diff. Long. 67 : 1 7 or 4037 Minutes 

Latitude of both Places is nearly — ■ — 37 Deg.North 

ubftradt from — — ■ — ^ ■ . - go 



.emaiiis Complement of the Latituilc »■ 1 5 j 

P Xxfra 



12^ ^ie Mariner^s Campafs ReSfiJie4. 




a. As &. 90 Degrees is to S. 53 Degrees, fo is 67 ^j 
«qual to67d. 17m. to S^t^o or 53^' 44»n- *»'" S^H"*!. the 
Diftance required. Or thus, 

a. As 90 Degrees is to S, 53 Degrees, (c is 4037 Minutes 
to Jaz+m. theUiflance in the Parallel, aa above. 

ExampU 2. Suppofe two Ships under the EqufnofHal, 
100 Leagues afunder, and each fails North til! both come 
into Latitude 60 Degrees, how far are they now afundcr i 
jtnfwiry 50 Leagues. For, 

As S. go Degrees is to S. 30 Degrees, fo is lOo Lea 
to 50 Leagues, the Diftance required. 

CASE VIII. 

To find haw many Mlnutti er MUa mah a Degret of 
gitHdt itt any Parailtl ef Latitudf. 

The R U L E. 

AS Radius is to the Sine Complement of the Latitu^^ 
** {o h 60 Min. {a Degree on the Equino£tial) to the 
Minutes making a Degree of LongituiJc in the Parallel de- 
Itred. 

Exifniple. In the Latitude of 50 Degrees, I demand hoT» 
nisiiy Minutes of EaftJng and Wcfting make a Degree of 
Longitude ? Aifiver^ tZ y Minutes. For, J 

As S. go Dcg. is to S, 4.0 Deg. fo is 60 Min. to Min. j^^ 
or 38 and a half, making one Degree of Longitude In 
Laiitudc 50 Degrees, ' ^ 

This TTiay be done by the Plane-Scale thus ; 

Tafce the given Latitude from the Chords, and meafure 
it on the Line MX. (which is MSles of Longitude) and ii 
will anfwcr your Define : As, for Inftance, takecp Degrees 
from the Chords, and meafurc It on the Scale M. L. and it 
Aev,'«ih 38 Min. ^nd a. half, the fame as before. 

VI. Tbt 




The Mariner*s Compafs ReSJiJied. 527 



I 



VI. ThsUft 6f Gunter's Scale in Ajironitrqi. 

PROBLEM I. The Sun's Place in iht Ecliptic^ and 
h'li grtateji Detlination hting givtn^ tn find hit Right /ffctii' 
Jian alidpreftnt DiQUrjation, 



To perform this, obferve the following Proportions : 



A S Radius is to the Sine Complement of the Sun's 
■'^ greateft Declination:, fo is the Tangent of the Lon- 
gitude (from the neafefl: Equinoctial Point) to the Tan- 
gent of his Right Afcenfion from the faid Point, 



I 



F 



The Names and CbaraBers of the 12 Signim 

Afitj "l f .5: Libra 

a Taurux \ \% Scorpio 

2 %f"' l^North Sigds^' ^ Sasiuarius g^^^ g. 

^a Cancer [ * ' "Wi Lapruornui ! ** 

Leo I sac yi^tcariHS \ 

yirgo J LK P'l"^ J 



til 

Q 

ter 

i 



J^Qie I. The Sun's greateft Declination is 2,3 Degrees- 
29 Minutes. 

Neti 1. The Beginning of Ariti and Libra are the two 

quinoftial Points. 

iVo/f 3. This Proportion (above) finds the Sun's Right 
Afcenfion only when he is in the firil Quarter of the Eclip- 
tic, that is, Xi tf J U. But when he is in the fccond 
Quarter, ^, 4\, WR, fubtra£i from i8o Deg. and when in 
^, "Ljand /, add to it iKo Degrees, and in the laft Quar- 
ter Ypj as, aad "^ , fubtraft what is found by this Operation, 
"om 360 Degrees, and you have the Sun's Right Afcenfioa 

>En Tr» for any Place in the Ecliptic defired. 

2. As Radius is to the Sine of the Sun's Longitude fronn 
neareft Equinoftial Pointy fo is the Sine of the Sun's 
'^rcateJ^ Declination to theSiueof His pref^tvt DtK^Maaisre^^ 



% 




The Mariner's Comfap Re^ified. 



Notet The Sun being in Vs bi n^ 23,fi, aiid iri, his 
Declination is North, but in c, tiR, /, yp, "if » and H, if 
15 South. 

Example. 

H^hm the Hua'i Place is ihe Edtptie is H 241! 1 ^m . fPiiai 
h his Right Afctnjim and Declination ? 

The SuJi being In y 24 Degrees 1 5 Minutes, his 
gttude from the iitarcft Equinoctial Foint (being now the 
begiiining of Y" ) 15 54 Degrees 15 Minutes, and 5ie Com- 
plement of his grealtfl Declination is always 66 Degr ea 
31 Minutes. (hen it fallows : 

T. As S.QO Degrees is to S. 66 Degrees ^i Minutes, 
is Xangcnt 54 Degrees i ^Minutes, to Tangent 51 Degrees 
52 Minutes, the Sun's Right Afcenfion (from the Begii 
ning of y ) required. 

I . By Gunier with CompaiTes. 

The Extent from Sine go Degrees^ to Sine 66 Degrees 
31 Minutes will reach from Tangent ^4 Degrcts, 1 5 Min- 
to Tangent 51 Degrees <;2 Min. the Sun's Right AfcenfK 

By the Sliding Gunttr, 

1. Let the miiUk Piece be foputin, tbit Sines may fli 
j,gainlt Sines, and Tangents agaiJift Tangents. 

2. Then bring qo Degrees in Sines (on the ouifide Pie 
■againft 66 Degrees j ) Minutes in Sines (on the mitldlePicce) 
then againft 54 Degrees i $ Min, in Tangents (on tlte inidtlle 
Piece) is 51 Deg. 52 Min. in Ta^ngents (on the ourfide 
Piece) the Right Afcenfion as ;ibove. 

This Proportion being to be wrought On Sifies and Til 
gents, jointly, 1 thought it neceilary to exi>refs the Manner 
of its Operation on boih Sorts oi Guntdrs^ that the Learner 
might fee how it agrees with the General Rule given at the 
Beginning of this Difcourlc of the Gwn^fr in Pages 177 and 
i78^ but ihall wave it in the reft, and only write the Pro- 
portion in Words sstA Fi^utcs., according to the particular 




The A^riner*s Compafs ReSiiJied. 229 

7. AsS. go Degrees is to S. 54 Deg. 15 Min. fo is S, 
33 Deg. 29 Min. to S. 18 Deg. 52 Mm. the Sun*s Decli- 
nation North, increafing. 

P R O B I, E M II. 

7be Latitude ef a Pleer, and. tht Sun's DtcUrtatten being 
given, to find bis AmpUtudt and Afcmfional Differentty and 
confequenily his Rifing and Settings and the length of the 
Day and. Night, 

To perform this Problem, the Proportiwis are diefe : 

1. As the Sine Complement of the Latitude is to Radius, 

^* fo is the Sine of the Sun's Declination to the Sine 
of his Amplitude. 

Nste^ The Amplitude and Declination are always of one 
Kind J thatis, both North, or both South. 

2. As the Tangent, Complement of the Latitude is to the 
Tangent of the Sun's DeclinatitMi, fo is Radius to the 
Sine of his Afcentional DjiFerence. 

Nate I, The Afcenfional Difference (being reduced into. 
Time, by allowing 15 Degrees for one Hour, and then) 
added to, and fub{lra£ied from 6 Hours, the one is Sun- 
rifujg, aiid the other Siin-fetting. 

Note 2. If the Latitude and Declination are both North 
or both South, the Sun rifeth before, and fets after Six of 
the Clock J but if one be North, and the other South, the 
contrary. 

Note 3. If the Sun's rifuig and fetting be doubled feve- 
rally, the fornier is the length of the Nig^t, and the latter' 
is the Length of the Day. 

Note 4. By this Problem the Tables of Amplitudes and 
Semidiurnal Arches, ^c, in this Book were calculated. 

Example . The Latitude being 51 Deg. 3a min. North, 
Sun's Declination 23 Deg. 29 Min. North, I demand his 
Amplitude and Afcenfional Difference \ alfo his Rifing^ 
Setting, and Length of the Day and Night. 



230 ^he Marifter^s Compajs Re^ified. 



A^ m. d. 

Af^, Bun's Amplitude U 39 : 50 Afcen. DifF. 33 ; 10 



1 

: in I 



M 



> 



Sun,frtting ) j^jj^^^^ * 8 : 1 jLeng. of Day 16 : 26 
cuii-nfing S i Z '- 47 Leng-ofNighr 7 : 3, 

For (by the preceding Proportions,) 

1. As S. 38d. aSm. is to S. god, fo is S. 23 deg. 29 mi 
to 39 dcg. 50 min. the Amplitude Norths becaule the De- 
clination U North, that is, die Sun rifechEaO' 39 deg. £■■ 
min. Northerly, and fettcth Weft jgd. som. Northerly. ^^H 

1. As T. 38 Deg. 28 Min. is to T. 23 Deg. 29 Min.^ 
fo is S. QO Deg. to S. 33 Dcg. 10 Min. the Afceniional 
Difference, which being reduced into Tinie> i$ i Hours 
13 Minutes, and added to 6 Hours> is 8 Hours 13 Minutes , 
for Sun-fctting ; which doubled is 16 Degrees, 26 Minutes | 
the Length of the Day. j 

Ag^ii, 2 Hours 13 Minutes fubftradled from 6 Hour^, is 
3 Hours 47 Mtnures for Sun-rifing j which doubled is 7 
Hours 34 Min. the Length of the Night. 




I. 



PROBLEM HI. 

Tin Latitude if a Place ^ and the Sun's Dedinathn hting given f 
to Jiad hit Altitude and A^iimuth at Six oftht Chtk. 

Tofolvf this, fay ^ 

I. A S Radius is to the Sine of the Latitude, fo is the 

*• Sine of the Sun's Declination to .the Sine of hi* 
Altitude at Six of the Clock. 

a. As Radius is to the Sine Complement of the Lati- 
tude, fo is the Tangent of the Sun's Declination to the 
Tangentof his Azimuth (from the Eaft or Weft) atSixof 
the Clock. 

Notr, The Azimuth is from the Eaft at Six in theM'Jin- 
ine, and from the Weft at Six in the Afternoon, Noi'iherly, 
inNorth Latitude, but Southerly in South Latitude. 

Example^ In 5 id. 33m. North Latitude, the Sun's Dc- 
ch'natlon being 23d. aom. North, what is his Altitude and 
AzJmuih at Six of the Clock. 





The Mariner's C&mpmfs ReSHJied. 



^ 



I 



Jnfwei-^ His Altitude is i8d. I im. apd his Azimuth Ea ft ^ 
iSd. 7m. Northerly, or j^^, 5310. Nonb Eafterly, ^1 
Wefterly; For, ^^ 

1. hif)cA. is toS.jid. 3in). fo Is S. 33d. 29m. toS. iSd. 
iim. the Altitude st Six of the Cloct. 

2. AsS. 9od.is to S. 38d. 28m. fo is T. 23d. 29111. toT. 
I5d. 07m, the Azimuth at Six ; that is, 74d. SV^- North 
Eafterly at Six m the Morning, but North W efterly in the 
Afternoon, (as by the preceding Proportions.) " 



PROBLEM IV". 



4 

— ■% ' 

I 



Thi LettUude of a Flaei and Sun's Dulination hdng gJvtH, 
to find his Attitud<y and tht Hour »f the Day, whtn he h 
in EaJ} tr WtJ}. 

To perform this, the Proportions are thefe; 

I . A S the Sine of the Latitude is to Radius, fo is the Sintf 

■^^ of the Sun's Declination to the Sine of its Altitude^] 
when Eaft or Weft. fl| 

a. As the Tangent of the Latitude is to the Tangent 3^^ 
the Sun'a Declination, fo is Radius to the Sine of the Hour 1 
from Six of the Clotlt when he is Eaft or Weft, \^^ 

Niftf I. The Sun is E)aft after Six in the Morning, bg^H 
Weft before Six in the Afternoon. ' 

Ntti 2. The Hour found (by the laft Proportion) being 
reduced into Time (by allowing 15 Deg, to in Ho'iir) apd 
added to, or fubtraded from 6, gives the Hour of the Day, 
when the Sun is Eaft or Weft. 

ExampU. In 5ld. 32m. North Latitude, the Sun's Dficli- j 
jiaticn being 23d. 19m. Norths what is his Altitude, and 
what Time of the Day is it when he is in Eaft or Weft } 

Anfwer^ His Altitude Is jod. 3501. and the Hour 

theDayisj ^J" =*' ^in Morning, when Eaft, 
■' i 4h, 39ni. Afternoon, when Welt. 

For (by the preceding Proportions) 

I. As S. 5id. 32 ro. is to S, 9od. fo ii S. 23d. liQt 
S. 3od. 5Sm, the Zaun's Altitude when either Eaft or Weft 



^eft? 
mr S;^j 

tur.jl. i 



t: 



*3Z Th Mariner's Compsjs ReSiifitd. 




¥ 



2.- AsT, 5id. 32m. is to T. 13d. agm. fo is S. ijod, t«j 
E. acd. iim- the Hour from Six ; which makes i Hour 
21 blinutes, aiid added to6y is -^h. zm. but fublh'a^ted 
from 6, is ^h. 39m. the former is the Time when the 
Sun is Eaft in the Morniitg, and the latter the Time whej 
he is Weft in the Afternoon. 



PROBLEM V. 



h 



Swppsp^g the Sun to be in tbt Equator or EquinoiJiai (that is* 
ta havi ns Deetination) and the Lsdtude of a Plaee, and 
the Suti's Altitude to be glvin^ to find his Apimutbi and ihti 
Hour pftht Day. 



This P R O B L E M is thus performed j 



1. A 8 the Tangent Complement of the Latitude is to the 

jr\ Tangent of the Sun^s Altitude, fo is Radius to the 
Sine Complement of his Azimuth from the South in North 
Latitude, but from the North in South Latitude : EaAerly 
in the Forenoon j and WeOerly in the Afternoon. 

1. A5 the Sine Complement of the Latitude is to Radius, 
fo is the Sine of the Sun's Altitude to the Sine Complc- 
jntnt of the Hour from Noon. 

Example. In5id. 32m. North Latitude, the Sun having 
no Declination, and his Alt. being aid, 50m. in the Fore-j 
ziooft, I demand his Azimuth and the Hour of the Day- ? 

jinfw. His Azimuth is South s^d. 45m. Eafterly, that' 
is, the Sun is upon the S, E. by E. a quarter E. Point of 
the Compafs, and the Hour of the D^y is Hours 8-^7 Mi- 
nutes Morning. For (by the above Proportions) 

1. As T. 38d. zSm. is to T. iid. 50m. (o is S. gcd. 
to S. 3od< 15m. whofe Complement is ^gd. 4Sm. is the, 
i&un'£ Azimuth required. 

2. As S. 38 Deg. 28 Mia. is to S. 90 Deg. fo is S, it^ 
peg. 50 Mm. to S. 36 Deg. 50 Min. whofe Complement 
is 53 Deg, 10 Min, or 3 Hours 33 Minutes, which fub- 



The Marifier's Coinpafs PJElified^ 



^ 



traifled from ii, gives 8 Hours 27 Minutes, or 27 Min. 
after 8 of the Cbck in th« Morning, the Time of ^e Day 
required. 

PROBLEM VI. 

Thi Latitude of a PUce^i the Sun't DuUnatht and h'n j1Iti~ 
tude bting ^Iverit t^^dhis Ai,intujhf snd tht Hour of tkt 
Day. 

The Performance of this is as follows j 

I, '"T^AKE the Complement of the Latitude, the Com- 
JL plement of the Sun's Altitude, and the Sun's Dif. 
tance from the Pnle (which is his Declination added to 90 
Dcg. when the Latitude and Declination, are one North 
and the other South, but both being North or South it is 
the Complement of the Declination, and add them toge- 
ther into one Sum. 

2. From half that Sum fublraft (to find the Sun's Azi- 
jnuth) the Sun's Diftance from the role, but (to find the 
Hour) fiibtraifl: the Complement of his Altitude, and note 
the Remainder. 

3. To find the Azimuth, you have thcfe two Propor- 
tions following. 

Firjf^ As Radius is to the Sine Complement of the Lati- 
tude, fo is the Sine Complement of the Altitude to a 
fourth Sine, Then again, 

Seeondly^ As that fourth Sine is to the Sine of the half 
Sum, fo is the Sine of the Remainder to a fifth Sine ; 
againit which on the Line of vcrfed Sines is the Sun's 
Azimuth from the North in North Latitude, but from the 
South in South Latitude. 

4. To fijid the Hour, thcfc arc the two Proportions 
which follow ; 

Firji^ As Radius Is to the Sine Complement of the Lati- 
tude, fe is the Sine of the Sun's DiftMce from the Pole to 
9 fourth Siuc. 



« 



234 



Tk£ Afan'ttar's Cempn/s ReSiified. 



Secoadfyt A« that fourth Sin* is to the Sine of the half 
Sum, fo is the Sine frf the Reniainder to a fifth Sine; 
agaipft which on tbe vcrftd SineSj Is the Hour of the l>ay 
fmm Noon. 

Exompli. 1051 Dee. 30 Mm. North Latitwde, the Sun's 
Declination bcinw 15 Deg. 10 Min. North, and his Altitude 
pbfcrved to be ii Dcg, 30 Min. I demand his Azimuth 
«iid-H our of the Day \ 

d. m. d.m. 

90.00 ^0.00 

15.10Nor.AU. 1 1.3a 




Latitude 



d. 

90 

51 



Comp.Lat.38 
' Comp.Alr.yB 
1 Sun's Dili. 74 



m. 
oe 

50 



North Declinat. 



Slim is 191 50 



half Sum is95 55 



Stin*sdift.fromPole74.5oCotn.AU.78.30 
Comp. Latitude 38-3O 
Cotnp. Ahiiude 78.30 



^um IS 



ig^S* 



The half Sum is gs-jj 
Remainder is — 17.25 



Remaindcrzi 05 

^L Then to find the Azimuth fay; 

J^ I, As S. god. is to S. 38d, jom. To is Sine7fid, jom. tQ 
Sine 37d. aom. the Fourth Sine. 

2. As S. 37d. lom. fstoS. gsd. 55m. fo is Sine 2 id. 5m. 
to S. 36d. agaioft which, on Verfed Sines Is Sod, the Sun's 
Azimuth from the North Ealleriy, if in the Foienoon, but 

^^onh Wefterlj in the Afternoon. 

^H And to find the Hour of the Day, it is thus ; 

^Bl. As Sineqod. is to Sine ^Sd. 3001. fo is Sine 74(1. 

^^fen. to Sine 37d. the fnuith Sine. 

Hp. As Sine 37d. is to Sine 95d, 55RI. fo is Sine ijd. 

^ajm. to Sine 29d. 40m. againft which on the verfed 
Sines, is god. 30m. or 6 Hours 2 Minutes* which is the 
Hour from Noon ; that is 5B MinUles after Five of the 
Clock in the Morning, 01 two Minutes after Six in tb* 

Afeemoojj, THE 



Sti4 Mari/ier's Compa/s ReSi^d, 
THE 
Description and U s e of the 



E 



O 



i.nnHi; 



I 



S ufeful Inftrumentmaybe of any Length, bat i 
is Commonly made one Foot fix Inches, or two 
Feec long, to open with a Joint in the Middle like a Car- 
penter's Rulej and one Inch and a Half pr more in Brexdrh^ ■ 
and of any Thicltncfs at Pleafure, according to the Matter 
jt is made of, which may be either Box-wood, Ivory, Brals, 
or Silver. 

2. There are two Sorts of SeflorSj known by the Names 
of Gu}iter''$ and Far/iir's Seizor, and fomctimes both put on ' 
one Inttrument, that is Gunter's Sc^or put on one Side of 
it, and Fq/itr's on the other. 

3. The Lines on Gmtir's Senior are thefci The Line &/ 
Lings (marked at the End with L) Linet ef Sities (marked 
S) Superjiciit fmarlced Sup.) Selldt^ (marked SoK) Line 
of Afelals-, Line of Equpttd Bodies^ Line of Jisfcrii^ 
Bodies, Sic. 

4. The Lines on Farjltr'^ Sedor arc thefc Five, 
The Line of Lines^ or Equal Parti, Chords, Sines^ Tan^enti^ 
and Secant], each marked at the End whh its Name, or firli 
Letter of its Name. 

5. All Sedor-Lints or Scaia, meet at the Center of the 
Head (where the Joint is) on the Left-hand, and from 
ihence are figured towards the Right, each being twice re- 
peated j that is, one on each Leg or Side of the Se&t 



i^ine 



aR«i 



answering one another. 

The S(£ii>r is ufeful In Proje£lion to reduce or to mai 
a Scheme to any poffible Magnicude : Alfo in Proportion, to 
work any flatcd Canon or Proportion in jirithmetie^ Gee- 
metry, Trigcnvmeiry, Navigation^ Afimmmy^ &c. frf which 
, I will give a briif Account, yet fo as the Learner may 
J)C informed now to employ them further. 



^ 



S.^6 Tbe Mariner's Compafs ReElijied. 

I. 7he life of the Seftor Lines fsr Projeaion. 






T N Projection it is often required to enlarge or dimlnifli' 
-* the Scale, that the Draught defi^tied 



may be of itsdeftied 
agnitiide; in doing of wnich are ul'cd Lateral and Parallel 
iiiances, or Extencs of the Coitipafles ; and to avoi(| a 
cedlefs Repetition of the fame Things, take once for all 
what is mc3,iit by a Lateral, and Parallel Diftance, or Ex- 
tent of the Compaires. 

T. As Lateral Dijlmue (in any Line op Scale) is the Ex-| 
tent or Diftance tiken On the fame Line, op the Hunej 
Side or Leg of the Senior from the Begiiiiilng thereof, to] 
any Nun^ber therein defired. 

As for Example ; the Lateral Sine of 30 Degrees is the 
Diftance of 30 from the beginning of ihe Line of Sfnes j 
and fo it is in the Line of equal Parts, Chords, Tangents, 
Secants, &c, 

a, A Parallel Di/iame (in any Line or Scale on. the Sec- : 
tor) is the Extent or Difla.nce, taken acrols from anjr Nurn- ' 
ler in any Line on one Lejjof LheScClor to the like Num- 

r in the like Line on the other Leg of the Scflor. 1 

Or the ncircft Diftance from any Kiimber on one Leg 
(taken acrofs) to the like Number of tht: Line on the 
other Leg of the Scflor. 

As for Ejcample : The Parallel Sine of ^o Decrees is 

{fuppofiJig the Se^or opened to any AngiL-) the Diftiince 
from 30 in the Line of Sines on one Leg of the Sector, to 
30 deg. in the Line of Sines on the other Leg. 

Or, the neareft Dilbnce from 30 in the Line of Sines on 
one Le^, to 30 in the Lines of Sines (that is to fay) the 
Line inuing from the Center of the f joint or Head) on 
the other Leg, is the Parallel Sine of 30 Degrees. In 
like Manner it is done in any other Line or Scale. 

This ^cing underflood, the enlarging or diminifhing any 
of the Sines, or the iiiiding a Chord, Sine, Tangent, or 
Secant, to any propofed Radius^ will not be difficult 1 ' 

and 



^ 



The Markey's Cmpafs ReQipdi ^7. 

and for the Learner's further Information take tliis Gene- 
ral Rule. 

X- To find tht Chordy Sine, Tangent, and Secant^ &c. t» t^ 
Radius (greater tr left) propofed. 

The General RULE is thus j 

r. Take the propofed Radius in the Compafles, and 
make it a Parallel on the Seftor in the Radius of any one 
Line, that is, open the Scflor till the propofed Radius !a 
the Compafles, be a Parallel Chord of 60 Degrees in the 
Line of Chords ; or a Parallel Sine of 90 Degrees in the 
Line of Sines } or a Parallel Tangent of 45 Degrees in the 
Line of Tangents ; or a Parallel Secant of Degrees in 
the Line of Secants ; for the Chord of 6o, Sine of 90, 
Tanj^ent of 45> and Secant of Degrees are equal, and 
each equal to Radius. 

2. The Seftor being kept at that opened Diftance, or 
Angle, the Parallel Diftance in any Line will be a Lateral 
Diftance on a like Line to the propofed Radius, that is, 
a Parallel Chord of 10, 20, 30, i^c. is the Chord of 10, 
20, 30, i^c. to the propofed Radius ; alfo a Parallel Sine, 
Tangent and Secant of 20, 30, 40, C^f. is the. Sine 
Tangent and Secant of 20, 30, 40, (!ff . to theaforefoid 
Radius. 

n. The life of the SiB.ov inwarking PreptrttBnt. 

CUppofing the Learner undeiftands how to take a Lateral 
■^ Diltance on the Line of Lines (otherwife called Equal 
Parts) on the Chords, Sines, ^c. and to apply them parallel 
in any Time on the Se(5tor, the working of a Proportloa 
is thus : 

A General Rule ta work by the Seilor. 

I. Take the Secoifd Term Lateral (that is, from the 
Beginning of the Line to the propofed fecond Term) 
ana opening the Sa^or, apply that Extent Parallel :(that 




the Marhur*j Compa/s Re£liJeJ, 



is acrofs) ih the firft Tertrt ; then flay the Seflor at this 
' ParaUel Extent. 

2. Take the ParaDel Dlftance of the third Temij and 
meajTure it Laterally, znd it gives the fourth Term fought or 
. required. 

Or briefer ihus : As the Lateral fecond Term is to A6 
! Pamllc! firft Term ; fo is the Parallel third Term to the 
Lateral fourth Term. 
This one Rule is fufficient for any Proportion whatever, 
^^d will appeal fo by a tew Examples. 

P R O B. I. 7* multiply iy the Line of Lints on the Scftor. 
The Proportion is. 



^ 



A S r is to the Multiplier, fo is the Multiplicand (o 



I 



the ProJud. 
Exampte. What Is the Produdl of 8 multiplied by 4. ? 



The Analogy, or Proportion is this j 



As I i« to 4j fo is 8 to the ProdmS 32, thus found by 
the Scfior, and general Rule aforefaid. 

1. On the Line of Lines, Jthat is the Line of Equal 
Parts) take the fecond Term 4 Lateral, that is, from the 
Center of tlie Joint, and the Begimiing of the Line to 4 in 
. the fame Line. 

2. open the Sedlor till you tit the [aforefi^id Lateral) 
Diftance in the Compafiesin the Parallel of i and i, or 10 
and 10, that is, fet It over from 10 to 10 at the End of 
the fame Line, and now being counted for i and i, the 
iirft Term keep the Se£lor juft at that Angle or Opening. 

3. The Parallel Diftance of the third Term 8 ; that is, 
" fron) 8 to 8 taken acrofs from one Leg to the other in the 

(aid Line of Lines, and meafurcd Laterally fthat is, from 
the Beginning of the Line towards the End) reacheth to 
3a the fourth Term, which is the Produd of 8 multiplied 
ffj^f, Or Aortw til liS : 



^he Marintr*s C&mfafs Re^ified. 



239 



As the fecond Term 4. .(^Laterally taltenj is to the iirft 
Term 11 (parallcly fet) fo is the third Term ftaken Pa- 
rallel) 8, to the fourth Term (meafured Literalfj') which 
is 32, the ProduiEl as above. Or thus. As the Lateral 8, 
is to the Parallel 11, counted for i, lb is the Parallc 
to the Lateral 32, a$ above. 

PROBLEM II. 

Tt dividf hy tht Line of Uttes $n tbt Sci^flr. 

The Analogy, or Proportion, is thus : 



A S the Divifor is to i, 
^^ ttcnt. Or thus ; 



fo is the Dividend to the Quo- 



As the Divifor is to the Dividend, fo is i to the QuotienC. 

Examflt I. How many Square Yards are iit 36 Square 
Feet ? Anfwer^ 4 Square Yards. For (by the above Pro- 
portions,) 

As 9 is to I, To is 36 to the Quotient 4 : Thus to be 
wrought by the Seftor ; As Lateral i is To Parallel 9, fo 
i» Parallel 36 to Lateral 4, the Yards required. 



PROBLEM in. 



4 



To wari tht Rule ef 'T}irtt Ay the Line of Lines on tht Sector ; 
9r until three Numbers gtvin^ to jind afvurth in Gevmttrie 
Frtfpsrtieri, 



The Analogy isj 



S the iirft Term is to the fecond Term, fo is the 
^^ Term to the fourth required. 

Example t. If the Diameter of a Circle be 14. Inc 
what is the Circumference i* Jnjwer 44. Inches, For, by tiie 
Proportion is thus ; 

As 7 is to 22, fp is the Diameter 14. to 44 the Circi 

ference required ; by the Seftor thus wrought, as Lateral 
22, is to Parallel 7, fo is Parallel 14, to Lateral 
CiKCuni ference of a Circlis whofq Dianteter h 14. 



4 

ttu^ 

ytj|c. 



Sxan 






240 Thf Mariner's Compajs ReSfiJied. 

Example 1. If a Plank or Board be 15 Inches broad, ant 
20 Feet long, how many Feet are in U ? Atifwtr^ 35 Feet, 
For the Proportion is this ; 

As 12 is to 15 the Breadth, fb is 20 the Length, to ac 
Fe«» the Content of the Board : And by the Senior thus, 
as Lateral 15 Is to Parallel 12, fo is Parallel 20, to Lateral 
J5 Feet, the Content of the Plank. 

P R O B. IV. The Ufi of the Seaor in Phw-Sailing. 

Example I. A Ship in 4ad. 10m. North Latitude fails 
NE. by N. 104 League^; I demand th^ Latitude flie is ia- 
and her Departure from the Meridian ? 



P 



The Proportions are thefe 9 



Lth. 



I, As Radius is to the Diftance failed, Co is the Sintf 
.of the Courfe to the Departure from the Meridisji. Thac 
is by the Sector, thus; As Lateral 104 Leagues (on the 
Line of Lines) is to Parallel Sine of go Degrees* fo is 
Parallel Sine of -^3 Degrees 45 Minutes [the Degrees of the 
Courfe from the Meridian) to Lateral 58 Leagues (on the 
Line of Lines) the Departure from the Meridian. 

Nsl/^ If 104 Leagues talten Laterai^ be troubkfoTne 
fit Parallel in the Sine of go Degrees, then take its half, at 
quarter laterally, and its Anfwer wil! be accordingly its haJi 
or quarter ; As here, if you take 52 the half of 1C4 Leagues, 
the Anfwer will be 29, whofe Double is 58 for the Depar- 
,re from the Meridian, as before. 



2. As Radius is to rfie Diftance failed) fo is Sine Com- 
ilement of tlie Courfe to the Difference of Latitude. 



By the Senior tbus j 



i 

^m As Lateral 104 Leagues is to the Parallel Sine of 90 
Deg, fo is Parallel Sine of 56 Deg. 15 Min. to the Lateral 

I 8; Leagues, the Difference of Latitude; by which you 
may find the Latitude the Ship is in, as before, in the Ufe 
ef die GnnUr, in ?agM 309 and 21Q. 




The Mariner's Compqfs Rectified. 

Example 2. A Ship falls South Eafterly 'till her DiiFerence 
of Latitude be 275 Mimites, and the Departure from the 
Meridian 412 Mimites, I demand her Courfe and Dift-, 
aticc failed ? 

The Proportions are ihcfe; 
I. As the Difference of Latitude, is to the Departure; 
fo is Radius, to the Tangent of the Courfe : That is, 

By the Se£lor thus : 

As Lateral 412 Minutes, is to Parallel 275 Minutes; 
fo is Parallel Tangent of 45d. (that being Radius now) 
to Lateral Tangent of 56d. 15m. the Courfe from the 
Meridian, which makes SE. by E. 

a'. As the Sine of the Courfe, is to the Departure j fo is" 
Radius, to the Dillance failed. 

Ey the Se£lor thus ; 

As Lateral 4.12 min. is to Parallel Sine 56 deo;. 15 min/ 

fo is Parallel Sine of go deg. fthat now being Radius) ta 
Lateral 455 min. the Diflance failed. 

After this Manner may any Proportion be wrought by 
the SeSor, which I leave for the Learner's Excife. 



N 



The Ufe of the following TABLES of Latitude 



and Longitudes. 



T Atitude and Longitude are two primary Affeflions of 
^ the Earth : By the Help of thefe two, the Geographer 
endeavours to reprefent the Parts of the Earth, that they 
may keep fymmetry and Proportion with the Whole, 

Latitude is an Arch of the Meridian, comprehended 
between the Equator and a ParaHcl : But Longitude is an 
Arch of the Equatofj intercepted between the Meridian 
of London, in the following Tables, and the Meridiiin of 
any other Place. 

For the exaft fettling of Latitude, we have many sbfo- 
utc Helps j true to determine the Longitude of a Meridian, 

Q_ and 



M 



24^' T^i Mariner's Compafs RsSitfed 







an^ more efpecially the Longitude of a PUcc at Sca, i^ 
that which hath, and ftill wearies the greateft Mafters 
Geography. 

I have endeavoured to fettle the LongituSe with as 
much Exaftnefs as poflibly I could : For I not only cal- 
cutated according to the Latitude and Meridian Diftance of 
each Place from che Meridian oi London, which Meridian 
iftancc ! obtained from the exafteft geographical Charts 
tant, but I confulted tbtt Recleonings of (kilful Mariners, 
d when I found any DiiFcrencc^ fadjuftcd it both ac 
cording to Art and Reafon, 

As for Inftance ; I h^d from nhfe Mannen, upon the 
lone Expeilence* the Meridian Diftance from Barbadoes 
to tne Lizard : According to which I have fettled che Lon 
gitude of all the eminent Places in the Weft Indies. 

And for the fctlinBof the Longittides of Places in the 
Ea.ft-Indies, I confuTted Obfervations of Eclipfe?, both 
ancient and modern ; as in Page i6r Harmontcon Ccelefte, 
the DifFcienceof Mcridia,ns between Goa and London is 
5h. 4.8m. and MaSacra and London, 6h, 4gm, My Table 
hath the formcFof ihcfe jd. 58m. and the latter 6h. 45m. 
The Difference between my I'ables and the former of 
thefe Obfervationa is lom, and of the latter 4111. which 
Difference may be bore wJchal. 

*« If the Reader conlidejs the Time, being in 1664, 

* with the great Labour and Pains (to my Knawled*c> 

' being then his Scrvaml the Author beftowed aiiO ex- 

*' pendcd in compiling this Work, the Performance may 

** jurtly be looked upon as then the bcft of its Kind. 

»» But fince that Time ihpre have been better Hdps, 
new Dilcovertes made, and; new Places found out ; the 
•' CorreLtor» at the Requell of the Bookfellers* and out of 
1.^' Refpeit ta t!ie deceafed Author, but moft of all for tb« 
publiclc Good, hath made fuch Arncndments. herein a 
were poffible, bv comnarine of the beft Obfejvati 



1 paring 



*« Tables, Charts, Maps, and Sea Journals he was able 
** ptOfure; fo that it may be concluded thffe Tables arc 




"he Mariner* J Compa/s Rectified 




'* the trueft^ or come in general, nearcll the Truth o 
'* extant in our Language i not that they are fo exaft in 
" every particular Place, as to need no Ai'ncnilmcnt in 
" Time^ but with Refpcfl Co the prcCcnt Help they are fot 

" Anil now I could wi(h, that either Auiliority would; 
*• Older, or that all Perfans concerned in conftrudting] 
*' Tables^ Chares, and Maps, would mutually unite in a 
" fixed Meridian where to begin Longitude. 

♦^ For, alihoueh Longitude may be begun at any Men 
" dian, yet the Lonvenieiice of it beginning at one Meri-' 
** dian in all our Navigation Books and Charts, wouldJ 
** rcncfer the Study and Piaflice of Navigaiion much.: 
** more pleafant and eafy than now it is : Such variouaj 
*' Beginnings and Countings of Longitudes occafion foms; 
•* to ftumhle, others to miftake, and fome to condemn allj 
*' to be falfe, by not confLdering the fevcral Meridians- 
** made Ufc of, which fuch ^ wi(hcd-far Union wouldj 
** prevent* 

*' But this is not likely to be in my Time, who am, 
*' fo near the Grave j yet fliould it be let on Foot while i 
" I am on this fide the other World, my beft Perform-] 
'' ances Ihould not be wanting to promote it^ and ihould] 
" count all my fpare Hours from necefTary Preparations' 
*' for my laft End, well fpent in fuch an ufeful and public 
" Good," 1 

Note ]. I do begin the Longitude (in my Tables) atl 
the Meridian of London, and increafing it on both Sides 
the faid Meridian ; that is to fay, both Eaftward and Weft- 
ward, and end in 180 Degrees the oppofite Meridian. 

2. Therefore (according to this Account) a!! Places 
on the Eaft Side of the Meridian of London lie in EaJl: 
Longitude i and, on the contrary, all on the Weft Sfdc 
of it lie in Weft Longitude. 

3. If a Ship be in Eaft Longitude, failing to the EaJt-i 
ward, the Longitude increafcthj but failing to the Weft* 
ward the Longitude decreafeth. 

Q.2 4, 



AmJ 





w 



The Mariner's Ccmpafs ReSiJied. 

4. And on the contrary, if a Ship be in Weft Longitude 
failing to the Weftward, the Longitude increafeth, 
feihng to the Eaftward, it decrcafeth. 

5. Talte Notice, that all Places in Eaft Longitude^ 
Sun Cometh on tlieir Meridian before he cometh on tl 
Meridian of London. As thus ; if a Place lie in 15 dcg. 
Eaft Longitude, the Sun comtth one Hour fooner to the 
Meridian there, than he doth to the Meridian of London: 
If tn 30 d«g. Eaft Longitude, than two Hours fooner ; if 
45 dcg. three Hours fooner ; if 60 Degrees four Hours 
foon^ri if 75 deg. five Hours fooner ; if 90 deg, fix Hours 
fooner; if 105 deg. feven Houfs fooner; and fq you may 
reckon for any other Longitude- But on the contrary, all 
thofe Places that Vic in Weft Longitude, the Sun or Star 
conieth on their Meridian after they are paft the Meridian 
of London. 

To find the' DifFerence of Longitude between any two 

Places. 

TF both Places be in Eaft Longitude, or both in WeT 
-'' Longitude, fubtra£t the lefs Longitude from the greater, 
the Remainder is the Difitrence of Longitude. 

If one Place be in Eaft Longitude, and the other inWdt 
Longitude, add them both together, and their Sum is the 
DifFerence of Longitude, if it exceed not 180 dcg. but 
when the Sum doth exceed 180 deg. fubtraA it from j6o 
dej;. and the Remainder is the Difference of LongitutT" 
required. 

Note, That the Longitudes of Places, tabulated in Mr 
'LSON's Mariner's New Calendar, heretofore elVi- 
wted from the Meridian of the Lizard, are in the laft 
Edition of (hat Boole, reduced to the Meridian of London. 



A TA] 




The Marintr'i Compajs ReSlified 245 



STABLE containing the Chief Harbours ^ Head- 
lands andJfianis in the World^-and Jhewing their 
Latitude and Longitude: Beginirig the/aid Lon- 
gitude at the Meridian <?/ London, 



Tte Sea-Coaft of Greenland, 



Names of Places. 



HAciuits Headland 
Fair Foreland 

;t5pe Cold, the North-end 
Charles Ifland 



Slack Point, Soulh-end of it 

Dear Sound— ^ 

Foul Sonnd-^— — ■■ — 

Bell Sound 

Horn Sound ■■ 



Point Lookout 

Heiies Sound 



Cape Barcan, or Barcam 
Cape Blanco 

Dwcks Clove 1 j~, in j 
Negro Point ^^^^^^^^^^"^ 
Hope Ifland 



JEdge 



Cherry Ifland, or Bear Itland 
Ice Point, or Cape Defifc — 
Admirals Ifland ■ 

Lanpenefs — -^ — .. 

Crofs Point -^^ — .. 



Freium fiurrBugh - 

Colgoyen Ifle 

Cape Candenofe • 

Cape Barfo 





I 



246 ^he Mariner's Compa/s Rectified. 



The Coaftj from Arghangel to the Naze of Noway. 



Names of Places. 



Archangel — 

Cape Cracc, or Ca[>e Bona Fortuna 

Cape Gallant, oiSweetnofe ■ -^- 

Kjlduyn Ifland ' 

River Kola Entrance.. 

Fiihers Ifland 

North Cape 



Latitude Longitude 
D. M p. M. 



Troralbupd Ifland — .. — — ■ 

IHand Sanien, South Weft Point 

Lteford^ Weft Point 

Wcrrd, or Weroy Ifland — ■ . ■ ■■ 

Dronthem ■ ■■ ■ ■— — 

Ranfdel 

Nortli Point 



KatCs Nefs, or Scuts Nefs South Poini 
Hearle liland the South-cnd 
North Bergen 



Bommcl Iflandj >Jort:fi Point 
|eddcr ■ 



Naze of Norft-av 
MaAerland . \ - 



6+ 
66 

6if 
69 

6? 

70 

71 
70 

69 
68 
67 
63 
S> 
6z 
61 
60 

S8 
57 
S7 



34 

00 
10 

30 

IQ 

00 

23 

35 

"? 
20 S 

45 I- 

40 

10 

25 

4S 
53 



5S 

3> 
34 
3t 
3" 

z6 

'9 
13 

09 

07 
10 

OJ 

03 
06 

OS 
06 
07 
II 



/- 



E« 



00 

JO 

40 
zo 
o; 

38 

oa 

00 

3«(l 

16^ 

360- 

38 

1+ 

40 

10 

24 

45 



Sea 



1 




^he Mariner's Qffmpafs RsStijied 



I 



/STABLE containing ibe Chief Harbours , Head- 
lands andJJlands in the World yayjdjheming thdr 
Latitude and Longitude : Begimug the/aid Lon- 
gitude at the Merid'tan c/London. 




The Sca-CoaA of Gieeniand. 



Name* of Places. 



HAcluica KeaJland^— 
Fair Foreland 

Cape Cold, ihe Nortii-Cmi 
Charles Ifland- 



D. M. 



Black Point, Soutli-end of \t ■ 
Dear Sound- ■■ ■■ ■ 
Foul Ssnpd-^— 

Bell Sound 

Horn Sound ■ -^ 

Point LookouC — ■< 

Keiies Sound • 



1'}- 



Cape Barcapf or Barcam ~ 

Cape Blanco ■ 

Ducks Clove 1 p, Tn a 
NegroPoiniJ^'^E«s^flaiid 

Hope Iflajid- 



-1 



Cherry Ifla.nd, or Bear lfland< 
Ice Puint, Or Cape Defire — 

Admiralty Itland. 

LanKcnrfs -. ■■ 

Crofi Point — 



Fretuni Eurrdugji 

Colgoyen ifle 

Cape Candenofe- 
Cape £arfo — 




79 
78 

I73 

78 

79 
77 
77 
?5 
?6 
78 
78 
77 

11 

76 

74 
77 
75 
7 + 
^a 
70 
69 
69 



47 
4S 

50 

'3 

'S 

zo 

'S 

SO 

30 
40 

°5 
40 

CO 
CO 

00 

03 



Longitude 
D- M 



09 II 
oS ;6 

09 30 



10 
12 

"1 
IZ 

'J 

'5 
21 

zo 

»3 

iS 

69 

J+ 
5J 
S3 
61 

4^ 
42 



\^ 



33 

40 
oo 

^t 
26 

II » 

40 S 

JO 

10 

IZ 
20 

3i 



\ 




23* ^he Mariner'i Compafs KeBljitdl 

is acrofs) ift the firft Term ; then flay the Sedor at this 
Parallel Extent. 

2. Take the Parallel Diftance of the third Temij and' 
meafure it Laterally, and it gives the fourth Term fqught or 
required. 

Or briefer thus : As the Lateral fecond Term is to the 
Partillet firft Term j fo is the Parallel third Term to thi) 
Lateral fourth Term. 

This one Rule is fufficient for any Proportion whatever, 
will appear fo by a few Examples. 



^nd 



P R O B. L To multiply hy the Line t/Litiei en the Seaor.] 

\ The Proportion is, 

I A S r is to the Multiplier, fo is the Multiplicand tc 

*» the Prodtia. 
L EnampU. What is the Frodua of 8 multiplied by 4 ? 

^^ The Analogy, or Proportion is this j 

As I is to 4, fo is 8 to the Produfit 32, thus found by^ 
the Sciftor, and general Rule aforefaid. 

1. On the Line of Lines, (that is the Line of Equal 
Parts) take the fecond Term 4 Lateral, that is, from the 
Center of the Jointj and the Begiaiiing of the Line to 4 in 
the fame Line, 

2. Open the Seftor till you fit the (aforefaid Lateral) 
Diftance in the Corapalles in the Parallel of i and l^ or 10 
and JO, that is, fet it over from 10 to 10 at the End of 
the fame Line, and now being counted for I and J, the 
iiril Term keep the Sciftor juft at that Angle or Opening. 

3. The Parallel Diftance of the third Term 8 ; that is, 
from tt to 8 taken acrofs from one Leg to the other in the 
faid Line of Lines, and meafured Laterally (that is, from 
the Beginning of the Line towards the End) rcacheth to 
32 the fourth Term, which is the Prodyit of 8 multiplied 
py^- Otfhonct thus ; 



I 

p 



, 250 Marimr'i Compafi ReSii^ed. 



The Sea-Coaftsof ycjtlitKi. 



Names of Fl.ice&. 



Skyiriand Nortli-end 

Ifldnd of Lewis, Norch-ccid. — 

fcrro Hea^J, orS. End 

Shetland South-enJ — " 

Fair lOe 



Ides of Orkney 
Catb Nefs i'oint 
Suchan Nefs 
Aberdeen-^ 

Dundee 

Lfeith— — — 
Bdenburgh . 
Berwick 



LaEitude ' 


Longitude 


D. 


M. 


D. 


M. 






= S 


45 


V 


4S 


s« 


20 


07 


00 


(.1 


'? 


0? 


ro 


60 


04^ 


02 


00 -^ 


59 


JO 5 


01 


'4» 


iq 


10=^ 


^1 


7it-- 


S7 


45 p' 


01 




57 


02 CL. 


9t 


44feL 


^ft 


28 " 


Oi 


40'^ 


^^ 


00 


ot 


S& 


55 


58 


02 


59 


5S 


4S 


01 


55 



The Sea-Coafts of England Trom Berwick to the Lizard. 



Newcaftie — 

SheMka, or Shield; 

.'underlaTid 

Hajclepool ■ 

WTiitby 



5c^rboro«gli ' 

Ftsmborough HL-ad 
Burlington I . — . 
Die Spurn — 
Hull 




Bo don 

Cvim 

WclJs 



m 




Ihe Mariner's Comfofs Re^ified 251 



The Sea-Coafts of England from Berwick to the Lizard. 



Names of Places. 



Aldborough 

Orfordnefs 

(pfwicfi 

Harwich 

Colchefter 

LOND ON 

RocheLter 

Margate 

TheNorth Foreland 

Sandwich 

The Downs 

The South Foreland 

Ripraps, 3 Sand 

Dover 





Dongenefi 

Rye 

Beachy 

Shorehain 

Ponfmomh -r 

Ifle of Wighi^Newpor 
Pool 

Weymouth 
For eland — 
Chiddock 
Lime 

Exniouth Bar 

Berry Head, the S. Poini of Torbay 

Hopes Noff, the N. Poiat of Torbay 

Dartmouth Entrance 

Start Point 

Praule Point 



I 



The Mariner*^ Cempafs Rutifud 243 

** the trueft, or come in general, nearcft the Truth of anp^ 
** extant in our Language j not that they are fo exa£t in 
** every particular Place, as to need no Afticndmcnt ijta^ 
'» Time, but with Refpe^t to the prcfenC Help they are ti^| 

** And now I could wifli, that either Authority woul3t 
** Drder, or that a!I Perfons concerned, in conuru^Jn g 
" Tables, Charts, and Maps, would mutually unite in j^| 
" fixed Meridian where to begin Longitude, ^B 

*' For, although Longitude may be begun at any Meri- 
*' dian, yet the Convenience of it beginning at one Meri- 
** dian in all our Navi|fatiori Books and Charts, would 
" render the Study and Fra£lice of Navigation much 
'* more pleafant and eafy than now it is: Such various 
'< Beginnings and Countings of Longitudes occafion fome 
** to ftumble, others to miftakc, and Tome to condemn all 
** to be falft;, by not confidering the feveral Meridians 
** made Ufe of, which fuch 9. wi(hed-for Union would 
** prevent. 

" But this is not likely to be in my Time* who am 
•' fo ne^r the Giave ; yet fhould it be fei on Foot while 
** I am on this fide the other World, my bcJV Pcrform- 
** ances fhould not be wanting to promote it, and dould 
*' count atl my fparc Hours from nccefTary Preparations 
' " for my laft End, well fpent in fuch an ufcful and public 
" Good." 

Note J. I do begin the Longitude (in my Tables) at 
the Meridian of London, and increafing it on both Sides 
the faid Meridian j that is to fay, both Eaftward and Weft- 
ward, and end in 180 Degrees the oppofite Meridian. 

2. Therefore (according to this Account) all Places 
cii the Eaft Side of the Meiidian of London Jie in Ealt 
Longitude i and, on the contraryt all on the Weft Sfde 
of it lie in Weft Longitude, 

3. Tf a Ship be in Eaft Long^ftude, failing; to the Ed- 
ward, the Longitude increafethj but failing to tbc Weft- 
ward the Longitude decreafcch, 

0.2 4, And 



254 The Mariner's Cmipap ReSiipd. 



The Sea Coafls of France. 




Nxmes of Places. 



Alderney ■ 
Cifkets 

Guernfey' 

Jerfey 

Str Maloes — 
Moriaix '— 
Ifl^nd de Bafs 

Ufbaiit 

Conqiifit 

Brell 



Camaiica Bay 
Seams — \ 



Weft Petimark. 
Pell If] e 

Naafa - ■ — 



nic de Rey the Middle 
rflcs of Okfon 

Roche! ^ 



BoardeauCity ■ 
St. Scballiao ■ 

Eilboj — 

Cape Pin as 



Cspe Oiiegal 

C:ipc Coiunna, or Groin 

Cnp^ Finillene • "■ 

] Acs of Bojona 

Opono ' "- 

Biirlinps ' I ■ .— rf 



IJgS 



Rock fjf LiIE>nn 
Liftign ' ' 



^a /Cadi 



Cape St Vificehi- 
C:i\iZ St. M.ir!ii - 
Cadiz — 



Latitude 


Loi 


igitudt 


D. M. 


D. 


M 


49 ?o 


02 


12 


49 5° 


02 


20 


49 33 


oz 


40 


*9 o; 


02 


a6 


+8 39 


01 


57 


+« 33 


03 


+9 


+8 50 


04 


00 


48 30 


*?S 


02 


+9 3? 


0; 


03 


'I '3 


04 


z6 


4S =5 


04 


23 


48 02 


°? 


00 


47 48 


P4 


i4 


47 21 2 


03 


i&^ 


47 14 S 


Ol 


39^ 


46 24 =r- 


-^3 


Mr- 


^^ 10 E" 


01 


3="^ 


4; 56?. 


01 


of*03. 


4** 10^ 


01 


"S 


00 


30 ri 


+3 z+ 


01 


27 


+J 2? 


OJ 


S8 


■13 56 


06 


CO 


4J 47 


ca 


32 


+3 38 


^9 


20 


■iJ IS 


^9 


40 


41 ag 


09 


27 


+-» 50 


(19 


31! 


3'3 35 


09 


4^ 


58 42 


09 


JO 


38 42 


oS 


53 


3^ 53 


C9 


06 


36 ss 


oif 


30 


5^ 51 1 


9b 


00 



13 I-l\l- 1 



The Mariner's Compafs ReSHfied. 255 



The Coaih on the Main -Continent within the Straits. 



Names of Places, 



Cjibralter -^ 
Malaga . > — 
Cape de Gat- 
Cape Paul - 
Ahcant — 1— 



Cape St. Martin 
Barcelona — ^ — 
Marfeilles — —■ 
foiUon — ^— _ 
Genoa- 



[^egl>orn — . 
Civita Vechia . 
Rome . 
Naples 



Jape SpartBvento 1 
Cape Coionne— 
Qailipoli ... ,.,— , 



Cap« St. Maria, or Lticia 



Venetia, or Venice 
3ara --r-f < 
Haguik ■» .1 ■ - . 
Cattaro 



I»a Vtlona 

Point Palenna- 
liepanto 



[ape Matapan, or Caligjn- 
fapcSt, Angelp, or Angulo- 
»heiiS" I ■ .1.— m^~^^ 



Latitude 
D, M. 



36 
36 

36 
J8 
J8 
38 
4> 
45 
43 
44 
43 
42 
41 
40 

37 
38 

39 
39 
43 

4y 

4+ 
42 
41 
40 
40 

38 
36 
36 
37 



12 

48 
30 
»5 
35 
46 
•26 
18 
07 
«5 
39 
10 

54? 
S' 

45 F^ 

40 
30 

45 
47 
4) 
00 

20' 

3J 

32 

58 



Longitude 
D. M 



04 
03 
oz 

00 
00 
00 

OS 

:i 

08 
10 

12 
IX 

'4 
16 
18 
18 
18 

14 
12 

16 

20 

•9 
ao 
20 
22 
22 

33 

24 



53W 
coW 
05 W 
ijW 
OiW 

40 
18 

27 

02 

43 
»5 

45? 
46 & 

«g 

43 S 
30^ 

2D 
10 

35 
00 

»7 
05 
»5 
oa 

*i 
so 

OS 



Cape Marrelo, South Poini T 
ofNegropont j 



ofNegropont 

CBpeCofDn, or CoIIqii 

Saloncchi ■ — > 

Cape Monce San^o 

Gallipoli 

Conibntinople 



Cupe Barbernola,i3r Btanc 

Ephefus 

Antiodietta 



56 The Mariner's Comp&fs Rectified, 



TheCoafls on the Main ConiiQCDt within the Straits. 



Names of Places. 



me 



i,on;tancinopie - • •— 

Cape Barbador, or Baba 
Smyrna — ■ 



Antiodietta ■. - -.- .-— 

Scandaroon^ or Alexandretra 
Andocii ■ — 

Aleppo .11.. 

Tciiofa — 

Tripoly 



joppSf or Jaffa 

ferufalem > — — 
Alexandria- 



Cape Rufaio- 



Cape Mefurato •■ 
rnpoly 



L&titude Longi tilde 



O. M. D. 



38 

37 
40 

40 
40 
40 

59 
3S 
38 
3ff 
36 
3S 
36 
3S 

H 

H 

3' 
3i 
31 

3i 
3Z 

3? 



07 

45 
4» 

26 

33 
59 
30 
z8 
09 
00 
3"^ 

34 
ii 

4S 

.7 5 

S'r 
log 

43 '^^ 
21 g. 




M. 



25 03 



2+ 

z8 
z6 

16 



42 
•3 



58 
30 

3» 



»7 


S3 


1* 


46 


^6 


30 


36 


'5 


J7 


»4 


lb 


3* pa 


3& 


'5& 


}5 


20 r- 


3? 


'SS 


30 


19*2. 


21 


»sa 


lb 


17 « 


n 


10 


10 


34 


10 


04 


io 


»7 


Of 


10 


07 


00 


06 


M 


04 


IS 


O) 


16 


01 


i° 


00 


36 



I 




PalmaToHa, orPalmeria 

Poafa 

[fds., or £fcliia 

SCrombcllo 

Vekancllo 

FeUitur 

AHicur 

Uliica 

Trapano Wcfl End of 

Palermo ift 

C PsiraroEaft.Endof 

qiraCufa in 
C. Mnlm in 
PaJitaUria 

Liutofa -^ 

I. Malta* 



Ouvfe Poel. aHofek 
t>r*tnk, or I. Longs 




PoatA ' 
Si. Andiea 
Lifla 

St. AguAa 
Corzoia — 

Corfu 



358 The Mariner's Compa/s ReeJified. 



Iflands within the Soaits 



Names of Places. 



Chephalonia 

Zant 

^Sapicnfa — 



Latitude 
D. M. 



4J 

43 

45 
41 

3« 



10 

4=1 

46 
40 



Lott^iiude 
D. M. 



lOaniJs in the ArchipeUgO. 



16 o9 

16 x6 

18 40 

18 56 
'7 3*5 

19 4*1 
XI oofr 

»' 4$ 



14 



lajfo 

Lctnnoi — ~ — 

Siatto, or Schate ■ 

Sdo» or Xio — 

PatlBOi" - - 

Tino ^ 

Zio, or Sea 



Fermmia, f ennina, or Termine — 
Ferfante, or Sifanto - 
MiHo, Mill, or Melo 

If-jenJofCaiidia f C^P^^ St->1>" 
li. J I C. Solomon 

ci,n.l«=^ Nojtli-end 

*^^'""? SouUi-cndofC.Tranqui:) 

C. BaiTa — 



iCiiiioi"Cjptu3 



!C. Baffa — 
C. St. Andret 
L\ de Galfc- 



40 
39 
39 
^8 

39 

3» 
37 
?7 
37 
37 
36 
36 

3i 

35 
36 
36 

34 

35 
34 



40 
S9 
>5 

57 

IX 

40 s 

• s 

00 

17 
01 

57 

3» 
3© 






* 



p 



The Sea-Coafl cf Bsrbary and Guiney, iratn Tangier to 
Cape DotiaEfppraincc, 



Cape Spar «1 — 

Salle ^~- 

Ci'pe C'Titin -- " — 

Cape de Ge«^— —— 

CapedeNon •=- ■• 

CapeBajadore ..^.— 

Cape Blanco ^.^ — 

Cape de Verde ■ ■ - 

River Gambia's Enrraflce 
Cape Roxo 



"^59 



Nftmes of Places. 



Cape deMonrc, or Mount- 

River Seller, orSeftos 

Cape de Palmas -" 

River st. Andrea ■ ■ - 
CapeThieePgints ■ 

Cipe Corfe 



River de Volta, or Accira — 
Cape Formofa 



New Calabar Entrance — • 
Old Calabar Entrance ^— 

River lie Camarones 

fdand Fernand PoD ■ — >— 



Fdand de PrJrui-, or Prinse's 
River de Anger, or Angra — 
iltand !jc Tlioiiias —- 

Ifland St. Matthews— 

tA;ind AlceTiJion - . ■ 
IHand Anabona - .. ~ 
Cape Lopas- 



Cape Negro 

ffland Si, Helena Nova 
filaiid St HcJeiiH -— 

River Congou — 

Cape St. Thomas — 



Latitude 
D. M 



35 

33 

3^ 
30 
z8 
26 
ao 
H 
'3 
1 1 
06 

05 
o; 

05 
04 

°> 

04 

0+ 
04 

03 

oz 

CI 

00 
00 



+6 

+6 
*7 
IS 
04 
45 
43 

'+^ 
as £ 

Si 
42 

10 

40 
40 

00 



or 

07 

rZ 

CO 

16 

16 

16 

OS 
»4 



30 

SOcn 

08 r 

00 c 

40'* 
SO 



Longic, 
D. M. 



oj 49 

06 20 

Q9 10 

to 06 



II 

>S 

17 

17 
'S 
'S 

t2 

06 



04 S 
34 f 

20 g 
°4.| 

oe 



04 I J 

QI 50 



00 23 

06 40? 

og 4jg 

10 30 E 

iQ or 

o3 00 



06 oiW 
14 OtW 

07 27 E 
09 55 E 
12 31 B 

06 04 E 

05 s:,W 

.5 =sE 

'4 43 £ 



& 2 



|6o 3^^ Mariner* sCo3Jipafi Reified, 




The Sca-Coaft of Barbary and Guine^, fiom Tinper to. 
CafT Bona Efper^n^. 



Ma/ncs of Places. 



Cape Seoo!,~Segw, or Sec? 
Cap* Bona F.fpctancc ■ 



Laticu.de 
D. M 



C«pe Aguilhaij or L^gullu 



19 
34 
J4 

i7 



Lofigitiiii< 



D. 



M 



07^ .8 



54 E 



56E 

zi 20E 
M 50W 



Tke Sea-Cojft of Brasil. 



mirid St. PaaJ 
Para JCivcr -^ — 
Cape -St. Roqut 
ftio Grande ~- 

Pcrfta,nibuiCO 



Cape St. Auguftin — — ■- - — — ■ 



Qland Ferdmande Lorenha 
River $t, Fiancifco — 
lt«.y dc Toios SanQes 
Port Scgirra 
Cape de Abralhoa 

CapeSi. Tbomae 
C»pf Frio 



Illaud St. Cathtrincs — 
River Grande'i Entrance 

Cape St. Waria - .-■■ » 

Bivrr dc Ja Plata, or Cape St. Auumio 

Captdc Sr. Aadr^a* ■ .- 

fi«y Sinfun^a, orSicfendo 

f«igC de lof Lfonet ■ -^ 

ftivcr CainrrotlCs ,. . j ^ . 

Ci-pe Blanco '•• -■ — >^ 

P«pV';ffle — ^- 

Poi 



Point of ?,iver St. Julias _ 

U'ape \'irgin Mary c! Magel, 

' Ce Maiie Strait-. .— — 



Strait: 



01 
02 
OJ 

oS 
08 

10 

'3 
16 

36 
IZ 

23 

«7 
>i 
M 
JS 

38 
+2 
44 
4S 
4<3 
47 
48 
5* 
5 + 



20 
yo 
00 

zo 

30 
48 

50 

06 



25 


30 


42 


47 


3f 


47 


3J 


57 


35 


07 


3S 


10 


11 


10 


3& 


40 


3« 


so 


4& 


00 


*« 


o?. 


♦» 


00 A 1 


*" 


'5*1 



or w 
SOp 


:« 


MO 

00^ 


■ 


55 & 
30 


?6 


00 fi^ 

40 Ik 


1 


40 


fa? 


S« 




40 


i' 


*5 


1 


3; 


AH 


00 


1 


00 


70 


40 




30 


73 


OQ 




5» 


7« 


D7 




ao 


66 


4* 




4» 


.74 


*4 




OJ 


75 


05 




34 


7J 


w 


^J 



The Mariner's Com^ajs RiSt^sd. 161 




ifland de IWartinVas ■ 
liland Si- Maria, de Agofta- 

JilflfldTnnidada 

IHaad Afceivfion • 



The SM-Coaft« of Braail, 



Name* oF Places. 



C Horn, tbe S. Paitoi" Terra del, 

Fuego 



Lathudc, 
D. M. 



S> 
iz 
>9 

'9 
20 
c3 



jot- 
on 



Longitudt 
D. M. 



C; 0^1 



16 

19 to" 

39 bo; 



,11 



'4 30' 



The Coaftjon lh« Main Continent in Ac EaftJndi*a. 



Bay de Allogcor Datlagoa ' 
River St. Lucia 



CapeSL. MarLin, orMnria^ 
Cape Coricntes — 



p, de Aquada, orDc! Gada 

Cape de Fullo: — 

Xongou — — ' — ■■ 



Molindr, or Melinde 

River Lainp» 1 

Magadoxa *»— 

Cape de Baffas, or Boxos- 
Cape deGardefoy — — 

Aden — — -* 

Mocha- 



Cape Mdlriaca 
Defar 



Cape RefuJgat- 
Mufcat 



Baffora, or Bufero- 
I Gambaroo n --'-^•^ 
|,Cape Glado - — *. 



3S 

n 

IS 

id' 

o» 

04 

03 
□ I 



30 
30 

40 S 

to" 

00 g 

58 

JO 



02 

04 
■ I 

'3 
14 
^5 

'7 

a? 



5? 
»& 

00 o 

log 

4' 
i> 

4? 

39 



2? ^O- 



3' 
3* 
39 

40 
39 

38 
38 
J9 
40 



45 
47 
S^ 

47 
44 
51 

. IS 
59 

sr 
49 



'7 

OS 

<? 
40 
10 

55 

ZCM 

5*1 

so 
10. 

3? 
4S 
4S 
ap 
40 



i5i H_ 



4 



362 



Tbt Se3L-Cca.&iOB ihc Main Continent in the Ealt-lodlei 




B^^'inhay IJland 
St. John's 
Chaulc, or Choaie 
Dabul 

RaJBpour Ifle 

Goa 

Car» 

Mznqutilore 

Tellccherry 

Calecut 

CannanoD 

Cochio 

Anj:inga 

Cape Co mar In 



Coi'ititbo in Zcylone 

Point deGalic, or Galto, on chcfamt 

Dun>Lit>eHea-i on the fame. 

Tnnconomale. 

Great Biflhs Shanh 

Jetijpaiim 

NcgrapataiTi' 

TJncumbar 

Potto Niiva- 

Pondiclicrrp 

Fori Sc. 'David, or Trtgapaiani 

Con)-in<:re 

Fort 5c George, or Madr^iilapatam 

Palliakatc 

Annegon — 

Pctapoli ■— — 

Due Point, or Mecha 

M&fulipatatn 



Tha Mariner's Compctfs Re£iified 263 



r 



'VYvt iica-CoaKs on the Main CiCKitinenC itthe Eatt-Indies 



Name* of Plscn. 



Mafltpore ^ 
ViTagapatam 
Birinlapatain 
Pondy 



ncarnaut Fagod- 

A,lftpiife •■ 

C. Palmiru — ^- 
Balafort Road — 

Plply 



Hughly — 

Dacca 

CaA m bazar- 



Kwiv Bengal — 

River Aracaa — 

Pegii 

Melacca 



FormofaN. Point 
PoincRomanu — 
Point Citi ■1.1 
Siam Entrance - 



Cambodia Enirance 

C-^pe AnaTJUa, wAvariUa 
Cochjfl, Or CMnchen— ■ — 

Tonquiii — ■ ..-. I . 

'a.ncon ' 1 — ... — 



Amoye inand. 
Hoc kfew — 



R.i\*cr Svvadia »- 

Liampo, Lingpo, or Ningpo- 
IflandChukn .>-^- 

[•lanlcin 



I.atiCutte 
0- M. 



16 

'7 
17 
18 
ig 

«9 

zo 

!I 

^i 

H 

'7 

Z[ 

01 

12 

H 
to 

[3 

zo 

II 

29 

31 
33 

11. 



30 

43 

S' 

49 

5' 
i I 

40 

16 

'5 

C9 

«7 

18 

z8 

*s 
50 
08 

3; 

30 

S' 

06 
«7 
U 



Long) I. 
0. M. 



81 

83 
84 

,fis 

86 
87 
87 
87 
87 
89 
90 
88 
92 

96 

102 
IZI 

59 

IQO 

'OS 

107 
105 
113 

■ 16 

liS 
liS 

IZO 

118 

lis 
116 



57 
S7 
og 

»5 

4» 

13 

JS 
48 

57 
o; 

SS 
4; 

21 

40p 

log- 

'^ 

OSS' 

5S 

00 

li 

40 
o3 

SO 

zo 

so 

3! 
3S 

3» 

38 



J^and^ in ihe Ealt Indies. 



St. Paul ^^ :_- 

Romcrani dc Callelamais*- 
^t. Joan de LiSbin ■■ ■ ■ 
Piego Royi . 



3« 

»s 

J2. 



20 k 

4S;, 

J21 



^5 



»Spi 
i7i- 
jog 
low 



164 Marmtr's Cem^a/i Re^ifiea. 



Iflandsin \>t E>l{-tndi«, 



Names of PlacM. 






:;.St. MaiyS. ■) End of St. 
2- D' Ambre N. X Laurence 
St. joho de Nopa — ■ " - — ~ — 
St. Cbriftova 

Mayctta ..I - — . — 

[oanna ■. — 

Mohilla 



Corrrero, or Angarecha 
Morfia, or Monfia —^ 

Zanzebai . — 

Penda 

Comer o - ■ ■■■ — 

Coftnoledo — 



Jitan de Nova — 



Agalcga, cr Gallcga 

Setta Hcnnanes 

Quevclc, or Qaeb«31o 

Baflas de Banha^ 

H crman os 



lOand Gratio • — ' 
Ps<ira Bar^has ^— 
Balfas lif Chagos 
Chigos — - 
Three Gnmxai - 
CroTsIfland -^ 



or the IHuid 



Sicanrat er Zacaiora 

[fland Abdelear 

Cubells 
MaJique 



Laiiiade Longnudc 
l>, M. D. M 



16 

II 

12 

'7 
'7 
'3 

13 

l£ 
1 I 
08 

c6 

10 

fO 

09 
09 

09 

OJ 

O! 

03 

06 
o> 

06 



tjanpe, or Gripe 



0+ 

fi- 
ts 

la 
c8 
oy 

10 



38 

10 

»5 

33 
10 

XI 

04 

10 

05 
40 

%^ 
48 



64 
^^ 

DO 
46 

5' 
43 
43 

36 

43 

40 

39 



30 £',44 

'4=.Ii' 
55" i3 



47 
47 
S3 

Of 

10 
10 

5S 

30 
10 

TTnI 



04 N 
loN 

4l^^f?^ 



S4 

!9 
S» 
43 

S4 
6; 
6S 
6z 
,S8 

54 
53 

7» 
7* 



30 

3( 
30 
10 

©5 

lO 

4« 
18 

03 

25 

5" 
15 

35p* 

50 J 

3'H 
M 

36 
46 

4S 

Dl 

3« 

45 

43 
05 

o> 
04 

4S 
S« 



i 




I 



The Msriner's Compafs ReUi^ed. 265 




Iflairds in dicHaft-lndies, 



Najnes of Places. 



Andomahon, or Atitadi ■ 

Ceylone South End, C. Gailo 

Yas de Diegu Rey^ — — 
M acLila 



Litiitude 
D. M. 



. Point- 



I 
I 



Japan [sW. , 

Kocas . . . .. 

Andaman the Middle- 
Bornen W. Paint — 
Nicobar ■ — 



Si^uth-Esft End of Sumatra 
Jainbe ^ ■ ■■ ; — 

B .ntam — — -^— 

Batavia — • -— 



N&rth-WeftEnd of Sumatra- 
Sencola 



to 

TI 

c6 
00 
07 
00 
14 
'9 
19 

'5 

3S 
04. 
la 

03 

07 
05 
oj 

01 
06 
06 



Longitude 



00 
10 
08 

n 

H 

ao 

«5 

30 2 

5S = 

50 
1 1 

32 

5SS 

2)S 

iqS 

14S 
|6S 



73 31« 
73 ia 

76 *J 

71 <H 

72 00 
1 17 c6 

107 oOp: 

'^ J5S 

iflo 305- 

108 56 

94 %o 

104 oo 

105 JO 

too Z5 

to6 16 



Th« Soutiicrn ^flani^s, or Cap? dc Verde Inlands, 



St" Anionic i ■ - — .— 

Sc, Vincent . 

St. Lucia, or Round lAand 

St. Ntcliolas , 

IDe dc SaJ . , 

Baiiavlfi:a_ 

Miyo, 01 laanc! M^y 
St Jago 



Bfftva's _- 





I 




p 



^be Mariner's Cempa/s RetUJied. 




The Canary I^ands. 



Names of Places. 



Latitude 
D. M. 



Longitude 



Sanfto Porto 

Madeira Weft-en4 
Salvages ■■ 

palpu 

Pcrro ■ 

GoiMcro 



Pico TenerifF — 
Grand Cuiaiia 
AUeganfa •^— 
Lancerota ' 



Fortevcnrora South-Weft End 



3* 

J» 

30 

z8 

z8 

29 
29 



58 

■if 

;2 a. 

40* 

30 



16 

•7 
'S 
'7 
'7 
•7 
16 

'5 

iz 

12 

13 



>3 
00 ^ 

4SH 

»5 
30 



The Weftcra Iflandt, 



St. George 
rercera- 



Corvo ■ 
Floies 

Fyal - 
Pico— 



Gratiofa in Eura 

Whale Fifh-— 

Vajo, Of Vcgia ■ 

St. Micbael --^ 

Formiga^f or Hormigas ■ 
St. Maries — ■ 



39 4« 

39 32 

39 06 g 

39 J7 S 

S7 4" 

3* 59 



»7 
26 

a/ 
26 

'5 
»3 

13 



«5 

5 + 

»4_ 

36 

At 

5a 



The Sea-Coaft nf the North Part of America, Kudron'i 
Bay, asd NeivfoundUnd, 



n 



Cape r'arcwcll ■■ - - .. 

. Cape Elizabeth 

[Hand KercrLution 

Q^ecn Anne's Forehn^i' 
Sil^'ajTcs in.:nd — — ~ ■ 

SalJfliijry lilaijj-.- 

Mi)J-s]ae 



Ncttingluin 1\]e.- 



19 

61 
61 



45 

4°S 

4|g 

30 



44 45 

6s ^4?*^' 

S+ 45 

?7 x$*5. 

76 r J " I 



The Manner's Compafs ReSiified. 167 



rhe Sea-Coafts of the North Part of America, Hudfon'a 
£i)-, and Newfoundland. 



Names of Places. 



Shark Point 

Cape Southampton- 

Sir Thomas Roe's Welcome. 

Cape Churchill 



Latitude 
D. M. 



Port Nelfon, or York Fort 
New Severn 



Cape Henrietta Maria ■ 

Viuer'slfle 

Albany Fort- 



Moufe River's Mouth ^— 
Point Comfort — ■■ ■ — ■ - 

Frenchman's River 

Rupert's River — 

Chalton's Ifland — 

Danby's Ifland ■ 

Shepherd's Ifland 

Solomon's Temple Ifland - 

Wefton's Ifland 

Cubb's inand 

Bear's Ifland 



Baker's Dozen's Ifland -. 

Sleeper's Ifles : 

MansSeid's Ifle, the middle 
Cape Jones- 



Cape Waliingham 
Cipe Charles 
Button's Ifle — 

Bell Ifland : 

Gray's Ifland — 
Cape St' John — 
Pengwin Ifland 
Cape Boii^vifla 



64 
61 

64 

59 

55 
S3 
52 
51 
S' 

s» 
s» 

5* 
52 
S» 
53 
52 
54 
54 
57 
60 
61 

54 
62 
6z 
60 

5» 
SO 

50 
SO 
49 



30 
55 
15 

CO 

10 
00 

07 

OS 

i6 
18 
*4 



Longitude 
D- M. 



8z 
86 
92 
95 
93 
SS 
84 
84 

!+ 
81 

30E'79 
o8p8i 

15 &;8o 
45'i'i8o 
35^81 
5IJ Sz 

16 8z 

25 83 

56 8i 

10 81 

42 80 

55 78 

35 77 

48 75 

25 66 

07 SS 

35 53 

zS S* 

00 JO 

IS s* 



55 

18 

04 
16 

58 
so 
30 

03 
50 

'3 
II 

263> 

48^ 

00 o. 

48" 

40 

45 

H 

30 

30 

58 

55 

30 

27 

35 

25 . 

■48 

50 
12 



r; 



68 The Marm4r's Cmpa/s Kethf^sd. 

Tbe S«<L-Coafts cf Hu^fbn's-B»y, KewfouiutSaiid, 

New England. 



Namu of Placci. 



I'liiittyBaj Eutronce- 



Coriccption Bay Entrance »■ 

;^apeS:. Fiancis 

L'apeRace — ■ 

Jay of BttlU — — — 



,. lohn's I-I-irlxiur 

ape St. Maria ■■ . 

Plac^ntiii Bay—— 

Cape St. 1 auiaifa. i — 

tflandSe. Paul 

bap* R oyp • 

Vir^n Racks 

Freitch FadiJjy — ^- — - 

Bay of Btcil 

TadouiJcJc — 

Quebec k ■ ■■ ., 

Adti CafH [flaiid, r>i« Middle- 
C^» St Cha.'iei.tir Charles StraJf- 
C:ipc Britain L Seatefi 
Cape Sable 



Peine, (IT PorlRnyal - 

""j^iioblcii: River 

NoTlh YanTiouLn^ 

Ctpc Ann I:bin(l — 
CjpeCcddl — -, — ■ 
BciiloEi — — . 



jSjiith of Sf- George's Bank — -.- 
South End of Na,otucfcei3hDa!i — 

anrtickrl Iflanij : ■. . — . 

ariha*j ViiW)ir*l — ■ . 



Lilltade 
D. M. 



Longinrf* 
D. M 




J'be Mariner's Ctrnpafi Rectified. 269 



I 



Tbr Sfa-Co&fts on the Mwii Coituotntia the WcMndlut 



Names of Places, 



lElitahetMs Ifiand 
ifilockliland —^ 
'MontGckPoint — 
iFilher's ifland- — 
New ITork 



Suidy Hook 

[C*pt Jainci, or Hcniopcn 

EhiUdelphia 

Cape May > ■ 

Cape Charles -^ — . 

Cape Henry 

Cape Hantms 

Cape Fearc ,— 



Cape Rnman, or Cartir- — -■ — 
Alhky RWcx, or Cliaries Town- 
fott Rojat 



Bay of St. AdguftiTje- 
Cape Florida 



Laphillapna.or ApaUchia 
River Spiritus S;maut, or Mifchi- 1 
fippi JUver's Mouth . \ 

Tompfck . . ■ - . _„ 

Liva, or Vera Cruz .. 

Sisfra, orCapsdcMaratj -^— _ 

Trifte, or Triefl Ifland 

Canipfdia ^■_,.__ 

Cape Coadcledo —.....__ 

Cape Catocha . 

S]]«nanclia —~~ — , — — _^ 

]C«pe "'^'-'iirri 
Tape Cameron —- „ 



Longitude 
D. M 



41 
4' 
4' 
4t 
40 

1o 
5S 

40 

39 
}7 
36 
JS 
33 
33 
J3 
js 
30 

'9 
IS 

az 
'? 

•9 

20 
21 
16 
16 
16 



3? 
'J 
i& 
20 

28 
48 

CO 

II 

53 

«S 

SS 
'7 

00= 

57 5 

12 

10 
10 
20 
40 
10 

5& 

ID 



Longiludc 
D. MH 



69 rj 

69 ^B 

70 20 
70 40 

74 H 
7+ »( 

75 »B 

74 '» 

75 'S 

jS II 

76 10 
7S so 

79 4J^ 
So 4^^ 

84 44 = 

96 50 « 
100 If 

97 48 

9S 4J 
91 xo 
93 10 

89 40 
36 to 

^9 •• 

ii 3* 



270 The Marintr'f Compaft Re^ijied. 



The CoBftsoii thesin Continent in ihe Wed-Indie i. 



Names of Pisces. 



tntrance ol" Nkaragua 
Par 10 Bello 




Darren, 01 Scotch SetcJemcnc 
Carihagena -- ■■ — 

Cape Conquic^uacO, ortequibflco^ 

Idand Curafoa, or QiiJcaro 

tftand MirgantU 

[Oand Triniclada 

Mouth of Dronoque Rivei' 

cape Three Points 

Cape NaJTau 

N.Cape.thcnnddleofCiLOporj'Ifiand 

Sui-anam 

Cape Orange 



Mouth Amazones Rive 



Tobago Wefl end 
Barbjuloes, at Gndge-Town 
Granada 

Otvnadilbs 

Bosnia 

St. Vincent 

St. Lucia 

MaTtirica 

Doniinic.1 - 

MarigaUanta 

Guaraalupa 

DeflVada 

v^ntCgUa 

Barbuda. 

Mojlf^TAt' 

Rodond 



St. Bartholomcw- 

St. Martin's 

Angiiilia 

SambriCra 

Anerada ■ — 

St. Crua 

Virgins -- ■ I — 
St. Thomas 



The Mariner's Compaji Reciified. 



471 



IHinds in cbe Weil-lDdics. 



Names of Places. 



Nevis 

St. Chrillophwi 
Euftacia 

Sab« 



Si» John d€ Port Rico- 



iJTands and Rocks orAves. 
Tortuga, 0/ Tortugas — 
Margaritta ■ -i ^.^i 

Blanco ~ 

Teaigos . 



Bonairy, or Bonaire 
Aniba . 



Eoli-end of Hi(p;tnioIa ■ 
Weft-etid of the lame 
Eall end of Jrtuiaica — 
Port Royal Jamaica — 

Weil-end of c!ie fame^ 

Ealll^nd of Cuba 

Kavacnah — 



Weft-end of Cuba. 

La Bermudas 

Bahama Ifland 

Abaco Soutlj-end ■ 



Andrews, or Androfs, or North-end 
Providence ■ 




Latitude 



"7 
'7 
»7 
'7 
i? 
18 
18 
18 
18 

'7 
18 
18 
■ B 
M 

I I 

I I 
II 
1 1 
II 

13 

II 

i3 

■7 

i& 
IQ 

It 
25 



00 

»7 

3S 
S* 

06 

'7 
35 

47 
SS 

30 
30 

30 

>"%■ 

JO 61 
IS 

SO 
ili 
26 
00 
SO 
08 

'5 

Xo 
40 

5' 
oa 
lo 
00 



LoDgitude 
D. M 



62 
62 

6z 
6a 
63 
62 
6i 
62 

65 

63 

6S 
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63 
63 
63 
6z 

64 
66 
63 
69 

7* 

75 
76 

79 
74 
81 

86 
66 

78 
75 
78 

77 



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72 

37 

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28 ™ 

23 

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40 
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50 
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30 
40 
36 
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40 
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